45296160 has 384 divisors, whose sum is σ = 188987904. Its totient is φ = 8847360.

The previous prime is 45296159. The next prime is 45296219. The reversal of 45296160 is 6169254.

It is a super-2 number, since 2×45296160² = 4103484221491200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 742530 + ... + 742590.

It is an arithmetic number, because the mean of its divisors is an integer number (492156).

Almost surely, 2^45296160 is an apocalyptic number.

45296160 is a gapful number since it is divisible by the number (40) 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 45296160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493952).

45296160 is an abundant number, since it is smaller than the sum of its proper divisors (143691744).

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

45296160 is a wasteful number, since it uses less digits than its factorization.

45296160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 45296160 is about 6730.2421947505. The cubic root of 45296160 is about 356.4679282174.

The spelling of 45296160 in words is "forty-five million, two hundred ninety-six thousand, one hundred sixty".