45179904 has 176 divisors, whose sum is σ = 150921216. Its totient is φ = 11673600.

The previous prime is 45179887. The next prime is 45179917. The reversal of 45179904 is 40997154.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236449 + ... + 236639.

Almost surely, 2^45179904 is an apocalyptic number.

45179904 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 45179904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75460608).

45179904 is an abundant number, since it is smaller than the sum of its proper divisors (105741312).

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

45179904 is a wasteful number, since it uses less digits than its factorization.

45179904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 45179904 is about 6721.5998095691. The cubic root of 45179904 is about 356.1626996919.

The spelling of 45179904 in words is "forty-five million, one hundred seventy-nine thousand, nine hundred four".