45815600 has 60 divisors (see below), whose sum is σ = 112460064. Its totient is φ = 17928960.

The previous prime is 45815591. The next prime is 45815611. The reversal of 45815600 is 651854.

It is a happy number.

45815600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 17582 + ... + 20018.

Almost surely, 2^45815600 is an apocalyptic number.

45815600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45815600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56230032).

45815600 is an abundant number, since it is smaller than the sum of its proper divisors (66644464).

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

45815600 is a wasteful number, since it uses less digits than its factorization.

45815600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 45815600 is about 6768.7221836917. The cubic root of 45815600 is about 357.8253676335.

The spelling of 45815600 in words is "forty-five million, eight hundred fifteen thousand, six hundred".