45624560 has 40 divisors (see below), whose sum is σ = 109504896. Its totient is φ = 17660160.

The previous prime is 45624559. The next prime is 45624563. The reversal of 45624560 is 6542654.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45624563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6719 + ... + 11678.

Almost surely, 2^45624560 is an apocalyptic number.

45624560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45624560 is an abundant number, since it is smaller than the sum of its proper divisors (63880336).

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

45624560 is a wasteful number, since it uses less digits than its factorization.

45624560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18441 (or 18435 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 45624560 is about 6754.5954727134. The cubic root of 45624560 is about 357.3273262647.

The spelling of 45624560 in words is "forty-five million, six hundred twenty-four thousand, five hundred sixty".