45888160 has 24 divisors (see below), whose sum is σ = 108411156. Its totient is φ = 18355200.

The previous prime is 45888149. The next prime is 45888163. The reversal of 45888160 is 6188854.

It can be written as a sum of positive squares in 2 ways, for example, as 42458256 + 3429904 = 6516^2 + 1852^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (45888163) by changing a digit.

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, 143241 + ... + 143560.

Almost surely, 2^45888160 is an apocalyptic number.

45888160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45888160 is an abundant number, since it is smaller than the sum of its proper divisors (62522996).

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

45888160 is a wasteful number, since it uses less digits than its factorization.

45888160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286816 (or 286808 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 45888160 is about 6774.0800113373. The cubic root of 45888160 is about 358.0141687848.

The spelling of 45888160 in words is "forty-five million, eight hundred eighty-eight thousand, one hundred sixty".