45866400 has 144 divisors (see below), whose sum is σ = 154677600. Its totient is φ = 11791360.

The previous prime is 45866389. The next prime is 45866461. The reversal of 45866400 is 466854.

It is a happy number.

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, 69271 + ... + 69929.

It is an arithmetic number, because the mean of its divisors is an integer number (1074150).

Almost surely, 2^45866400 is an apocalyptic number.

45866400 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 45866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77338800).

45866400 is an abundant number, since it is smaller than the sum of its proper divisors (108811200).

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

45866400 is a wasteful number, since it uses less digits than its factorization.

45866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 45866400 is about 6772.4736987308. The cubic root of 45866400 is about 357.9575701616.

The spelling of 45866400 in words is "forty-five million, eight hundred sixty-six thousand, four hundred".