46414368 has 432 divisors, whose sum is σ = 188225856. Its totient is φ = 10644480.

The previous prime is 46414363. The next prime is 46414387. The reversal of 46414368 is 86341464.

46414368 is a `hidden beast` number, since 4 + 641 + 4 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (46414363) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2018005 + ... + 2018027.

It is an arithmetic number, because the mean of its divisors is an integer number (435708).

Almost surely, 2^46414368 is an apocalyptic number.

46414368 is a gapful number since it is divisible by the number (48) 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 46414368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94112928).

46414368 is an abundant number, since it is smaller than the sum of its proper divisors (141811488).

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

46414368 is a wasteful number, since it uses less digits than its factorization.

46414368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 46414368 is about 6812.8091122532. The cubic root of 46414368 is about 359.3774425341.

It can be divided in two parts, 4641 and 4368, that added together give a palindrome (9009).

The spelling of 46414368 in words is "forty-six million, four hundred fourteen thousand, three hundred sixty-eight".