460806400 has 108 divisors (see below), whose sum is σ = 1154808900. Its totient is φ = 182026240.

The previous prime is 460806389. The next prime is 460806407. The reversal of 460806400 is 4608064.

It can be written as a sum of positive squares in 6 ways, for example, as 3873024 + 456933376 = 1968^2 + 21376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460806407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 569196 + ... + 570004.

It is an arithmetic number, because the mean of its divisors is an integer number (10692675).

Almost surely, 2^460806400 is an apocalyptic number.

460806400 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 460806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577404450).

460806400 is an abundant number, since it is smaller than the sum of its proper divisors (694002500).

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

460806400 is an equidigital number, since it uses as much as digits as its factorization.

460806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 460806400 is about 21466.4016546789. The cubic root of 460806400 is about 772.3950835546.

460806400 divided by its reverse (4608064) gives a square (100 = 10²).

The spelling of 460806400 in words is "four hundred sixty million, eight hundred six thousand, four hundred".