45965160 has 48 divisors (see below), whose sum is σ = 149387940. Its totient is φ = 12257280.

The previous prime is 45965119. The next prime is 45965173. The reversal of 45965160 is 6156954.

45965160 is a `hidden beast` number, since 4 + 596 + 5 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45077796 + 887364 = 6714^2 + 942^2 .

It is a super-2 number, since 2×45965160² = 4225591867651200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63481 + ... + 64200.

Almost surely, 2^45965160 is an apocalyptic number.

45965160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45965160 is an abundant number, since it is smaller than the sum of its proper divisors (103422780).

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

45965160 is a wasteful number, since it uses less digits than its factorization.

45965160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127698 (or 127691 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 45965160 is about 6779.7610577365. The cubic root of 45965160 is about 358.2143052777.

The spelling of 45965160 in words is "forty-five million, nine hundred sixty-five thousand, one hundred sixty".