46344312 has 160 divisors (see below), whose sum is σ = 157338720. Its totient is φ = 12441600.

The previous prime is 46344307. The next prime is 46344317. The reversal of 46344312 is 21344364.

46344312 is a `hidden beast` number, since 4 + 6 + 344 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (46344307) and next prime (46344317).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46344317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76812 + ... + 77412.

It is an arithmetic number, because the mean of its divisors is an integer number (983367).

Almost surely, 2^46344312 is an apocalyptic number.

46344312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46344312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78669360).

46344312 is an abundant number, since it is smaller than the sum of its proper divisors (110994408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46344312 is a wasteful number, since it uses less digits than its factorization.

46344312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 630 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 46344312 is about 6807.6656792178. The cubic root of 46344312 is about 359.1965414852.

Adding to 46344312 its reverse (21344364), we get a palindrome (67688676).

It can be divided in two parts, 46344 and 312, that added together give a 6-th power (46656 = 6⁶).

The spelling of 46344312 in words is "forty-six million, three hundred forty-four thousand, three hundred twelve".