46144600 has 48 divisors (see below), whose sum is σ = 109591200. Its totient is φ = 18061440.

The previous prime is 46144583. The next prime is 46144603. The reversal of 46144600 is 644164.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46144603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6946 + ... + 11854.

It is an arithmetic number, because the mean of its divisors is an integer number (2283150).

Almost surely, 2^46144600 is an apocalyptic number.

46144600 is a gapful number since it is divisible by the number (40) 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 46144600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54795600).

46144600 is an abundant number, since it is smaller than the sum of its proper divisors (63446600).

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

46144600 is a wasteful number, since it uses less digits than its factorization.

46144600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 46144600 is about 6792.9816722850. The cubic root of 46144600 is about 358.6798354932.

Adding to 46144600 its reverse (644164), we get a palindrome (46788764).

The spelling of 46144600 in words is "forty-six million, one hundred forty-four thousand, six hundred".