45927600 has 60 divisors (see below), whose sum is σ = 147125256. Its totient is φ = 12247040.

The previous prime is 45927593. The next prime is 45927653. The reversal of 45927600 is 672954.

45927600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17937 + ... + 20336.

Almost surely, 2^45927600 is an apocalyptic number.

45927600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45927600 is an abundant number, since it is smaller than the sum of its proper divisors (101197656).

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

45927600 is a wasteful number, since it uses less digits than its factorization.

45927600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38294 (or 38283 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 45927600 is about 6776.9904825077. The cubic root of 45927600 is about 358.1167082011.

The spelling of 45927600 in words is "forty-five million, nine hundred twenty-seven thousand, six hundred".