45652896 has 168 divisors, whose sum is σ = 143226720. Its totient is φ = 14276736.

The previous prime is 45652891. The next prime is 45652903. The reversal of 45652896 is 69825654.

45652896 = 36³ + 37³ + ... + 116³.

45652896 is a `hidden beast` number, since 4 + 565 + 2 + 89 + 6 = 666.

Its product of digits (518400) is a multiple of the sum of its prime factors (150).

It is not an unprimeable number, because it can be changed into a prime (45652891) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 443181 + ... + 443283.

It is an arithmetic number, because the mean of its divisors is an integer number (852540).

Almost surely, 2^45652896 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 45652896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71613360).

45652896 is an abundant number, since it is smaller than the sum of its proper divisors (97573824).

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

45652896 is a wasteful number, since it uses less digits than its factorization.

45652896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 45652896 is about 6756.6926820746. The cubic root of 45652896 is about 357.4012859309.

The spelling of 45652896 in words is "forty-five million, six hundred fifty-two thousand, eight hundred ninety-six".