473868800 has 60 divisors (see below), whose sum is σ = 1174078686. Its totient is φ = 189542400.

The previous prime is 473868799. The next prime is 473868809. The reversal of 473868800 is 8868374.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 241367296 + 232501504 = 15536^2 + 15248^2 .

It is a super-2 number, since 2×473868800² = 449103279226880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (473868809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5711 + ... + 31310.

Almost surely, 2^473868800 is an apocalyptic number.

473868800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

473868800 is an abundant number, since it is smaller than the sum of its proper divisors (700209886).

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

473868800 is an equidigital number, since it uses as much as digits as its factorization.

473868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37049 (or 37028 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 473868800 is about 21768.5277407545. The cubic root of 473868800 is about 779.6255050821.

The spelling of 473868800 in words is "four hundred seventy-three million, eight hundred sixty-eight thousand, eight hundred".