45600576 has 168 divisors, whose sum is σ = 145243296. Its totient is φ = 12579840.

The previous prime is 45600563. The next prime is 45600593. The reversal of 45600576 is 67500654.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348031 + ... + 348161.

Almost surely, 2^45600576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45600576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72621648).

45600576 is an abundant number, since it is smaller than the sum of its proper divisors (99642720).

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

45600576 is a wasteful number, since it uses less digits than its factorization.

45600576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 45600576 is about 6752.8198554382. The cubic root of 45600576 is about 357.2647018014.

The spelling of 45600576 in words is "forty-five million, six hundred thousand, five hundred seventy-six".