460478400 has 336 divisors, whose sum is σ = 1629729024. Its totient is φ = 113541120.

The previous prime is 460478399. The next prime is 460478413. The reversal of 460478400 is 4874064.

460478400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4747152 + ... + 4747248.

It is an arithmetic number, because the mean of its divisors is an integer number (4850384).

Almost surely, 2^460478400 is an apocalyptic number.

460478400 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 460478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814864512).

460478400 is an abundant number, since it is smaller than the sum of its proper divisors (1169250624).

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

460478400 is a wasteful number, since it uses less digits than its factorization.

460478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 460478400 is about 21458.7604488237. The cubic root of 460478400 is about 772.2117775637.

The spelling of 460478400 in words is "four hundred sixty million, four hundred seventy-eight thousand, four hundred".