45966600 has 72 divisors (see below), whose sum is σ = 154377210. Its totient is φ = 12257280.

The previous prime is 45966593. The next prime is 45966637. The reversal of 45966600 is 666954.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 43322724 + 2643876 = 6582^2 + 1626^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×45966600² = 4225856631120000, 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 17 ways as a sum of consecutive naturals, for example, 10969 + ... + 14568.

Almost surely, 2^45966600 is an apocalyptic number.

45966600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45966600 is an abundant number, since it is smaller than the sum of its proper divisors (108410610).

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

45966600 is a wasteful number, since it uses less digits than its factorization.

45966600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25559 (or 25547 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 45966600 is about 6779.8672553377. The cubic root of 45966600 is about 358.2180459602.

The spelling of 45966600 in words is "forty-five million, nine hundred sixty-six thousand, six hundred".