45975600 has 360 divisors, whose sum is σ = 184696512. Its totient is φ = 10886400.

The previous prime is 45975593. The next prime is 45975641. The reversal of 45975600 is 657954.

45975600 = 90³ + 91³ + ... + 125³.

45975600 is a `hidden beast` number, since 4 + 5 + 97 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×45975600² = 4227511590720000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1069179 + ... + 1069221.

Almost surely, 2^45975600 is an apocalyptic number.

45975600 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 45975600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92348256).

45975600 is an abundant number, since it is smaller than the sum of its proper divisors (138720912).

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

45975600 is a wasteful number, since it uses less digits than its factorization.

45975600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 45975600 is about 6780.5309526615. The cubic root of 45975600 is about 358.2414234562.

The spelling of 45975600 in words is "forty-five million, nine hundred seventy-five thousand, six hundred".