45624000 has 112 divisors (see below), whose sum is σ = 150729696. Its totient is φ = 12160000.

The previous prime is 45623993. The next prime is 45624013. The reversal of 45624000 is 42654.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23050 + ... + 24950.

Almost surely, 2^45624000 is an apocalyptic number.

45624000 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 45624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75364848).

45624000 is an abundant number, since it is smaller than the sum of its proper divisors (105105696).

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

45624000 is a wasteful number, since it uses less digits than its factorization.

45624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 45624000 is about 6754.5540193265. The cubic root of 45624000 is about 357.3258643027.

Adding to 45624000 its reverse (42654), we get a palindrome (45666654).

The spelling of 45624000 in words is "forty-five million, six hundred twenty-four thousand".