45965600 has 36 divisors (see below), whose sum is σ = 112215474. Its totient is φ = 18385920.

The previous prime is 45965599. The next prime is 45965641. The reversal of 45965600 is 656954.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 38588944 + 7376656 = 6212^2 + 2716^2 .

It is a super-2 number, since 2×45965600² = 4225672766720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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 5 ways as a sum of consecutive naturals, for example, 27929 + ... + 29528.

Almost surely, 2^45965600 is an apocalyptic number.

45965600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45965600 is an abundant number, since it is smaller than the sum of its proper divisors (66249874).

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

45965600 is a wasteful number, since it uses less digits than its factorization.

45965600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57477 (or 57464 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 45965600 is about 6779.7935071800. The cubic root of 45965600 is about 358.2154482723.

The spelling of 45965600 in words is "forty-five million, nine hundred sixty-five thousand, six hundred".