45612504 has 128 divisors (see below), whose sum is σ = 146764800. Its totient is φ = 12856320.

The previous prime is 45612499. The next prime is 45612529. The reversal of 45612504 is 40521654.

45612504 is a `hidden beast` number, since 45 + 612 + 5 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146509 + ... + 146819.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^45612504 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 45612504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73382400).

45612504 is an abundant number, since it is smaller than the sum of its proper divisors (101152296).

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

45612504 is a wasteful number, since it uses less digits than its factorization.

45612504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 45612504 is about 6753.7029842894. The cubic root of 45612504 is about 357.2958496671.

The spelling of 45612504 in words is "forty-five million, six hundred twelve thousand, five hundred four".