45248400 has 90 divisors (see below), whose sum is σ = 157037010. Its totient is φ = 12065280.

The previous prime is 45248389. The next prime is 45248417. The reversal of 45248400 is 484254.

45248400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 14379264 + 30869136 = 3792^2 + 5556^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2685 + ... + 9884.

Almost surely, 2^45248400 is an apocalyptic number.

45248400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45248400 is an abundant number, since it is smaller than the sum of its proper divisors (111788610).

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

45248400 is a wasteful number, since it uses less digits than its factorization.

45248400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12593 (or 12579 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 45248400 is about 6726.6930954221. The cubic root of 45248400 is about 356.3425982746.

The spelling of 45248400 in words is "forty-five million, two hundred forty-eight thousand, four hundred".