45906400 has 36 divisors (see below), whose sum is σ = 112070952. Its totient is φ = 18362240.

The previous prime is 45906397. The next prime is 45906431. The reversal of 45906400 is 460954.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27892 + ... + 29491.

It is an arithmetic number, because the mean of its divisors is an integer number (3113082).

Almost surely, 2^45906400 is an apocalyptic number.

45906400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45906400 is an abundant number, since it is smaller than the sum of its proper divisors (66164552).

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

45906400 is a wasteful number, since it uses less digits than its factorization.

45906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57403 (or 57390 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 45906400 is about 6775.4261858572. The cubic root of 45906400 is about 358.0615979648.

The spelling of 45906400 in words is "forty-five million, nine hundred six thousand, four hundred".