45604944 has 200 divisors, whose sum is σ = 164923968. Its totient is φ = 11819520.

The previous prime is 45604913. The next prime is 45604961. The reversal of 45604944 is 44940654.

45604944 is a `hidden beast` number, since 4 + 5 + 604 + 9 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45604899 and 45604908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99564 + ... + 100020.

Almost surely, 2^45604944 is an apocalyptic number.

45604944 is a gapful number since it is divisible by the number (44) 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 45604944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82461984).

45604944 is an abundant number, since it is smaller than the sum of its proper divisors (119319024).

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

45604944 is a wasteful number, since it uses less digits than its factorization.

45604944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45604944 is about 6753.1432681382. The cubic root of 45604944 is about 357.2761086923.

The spelling of 45604944 in words is "forty-five million, six hundred four thousand, nine hundred forty-four".