45948160 has 36 divisors (see below), whose sum is σ = 110063268. Its totient is φ = 18378752.

The previous prime is 45948157. The next prime is 45948179. The reversal of 45948160 is 6184954.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23970816 + 21977344 = 4896^2 + 4688^2 .

It is a super-2 number, since 2×45948160² = 4222466814771200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16669 + ... + 19228.

It is an arithmetic number, because the mean of its divisors is an integer number (3057313).

Almost surely, 2^45948160 is an apocalyptic number.

45948160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45948160 is an abundant number, since it is smaller than the sum of its proper divisors (64115108).

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

45948160 is an equidigital number, since it uses as much as digits as its factorization.

45948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35918 (or 35904 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 45948160 is about 6778.5072102934. The cubic root of 45948160 is about 358.1701385357.

The spelling of 45948160 in words is "forty-five million, nine hundred forty-eight thousand, one hundred sixty".