45904400 has 30 divisors (see below), whose sum is σ = 110286282. Its totient is φ = 18361600.

The previous prime is 45904393. The next prime is 45904409. The reversal of 45904400 is 440954.

It can be written as a sum of positive squares in 3 ways, for example, as 692224 + 45212176 = 832^2 + 6724^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45904400.

It is not an unprimeable number, because it can be changed into a prime (45904409) by changing a digit.

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, 56981 + ... + 57780.

Almost surely, 2^45904400 is an apocalyptic number.

45904400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45904400 is an abundant number, since it is smaller than the sum of its proper divisors (64381882).

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

45904400 is a wasteful number, since it uses less digits than its factorization.

45904400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114779 (or 114768 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 45904400 is about 6775.2785920580. The cubic root of 45904400 is about 358.0563980101.

The spelling of 45904400 in words is "forty-five million, nine hundred four thousand, four hundred".