45864900 has 72 divisors (see below), whose sum is σ = 147455840. Its totient is φ = 12229920.

The previous prime is 45864899. The next prime is 45864919. The reversal of 45864900 is 946854.

45864900 = T₁₉₀₃ + T₁₉₀₄ + ... + T₁₉₂₇.

45864900 is a `hidden beast` number, since 4 + 5 + 8 + 649 + 0 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 5794 + ... + 11193.

Almost surely, 2^45864900 is an apocalyptic number.

It is an amenable number.

45864900 is an abundant number, since it is smaller than the sum of its proper divisors (101590940).

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

45864900 is a wasteful number, since it uses less digits than its factorization.

45864900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17010 (or 16997 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45864900 is about 6772.3629554241. The cubic root of 45864900 is about 357.9536679426.

It can be divided in two parts, 45864 and 900, that added together give a palindrome (46764).

The spelling of 45864900 in words is "forty-five million, eight hundred sixty-four thousand, nine hundred".