474004710400 has 297 divisors, whose sum is σ = 1276146858483. Its totient is φ = 174488371200.

The previous prime is 474004710397. The next prime is 474004710407. The reversal of 474004710400 is 4017400474.

The square root of 474004710400 is 688480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 122175415296 + 351829295104 = 349536^2 + 593152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (474004710407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1432038235 + ... + 1432038565.

Almost surely, 2^474004710400 is an apocalyptic number.

474004710400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

474004710400 is the 688480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474004710400

474004710400 is an abundant number, since it is smaller than the sum of its proper divisors (802142148083).

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

474004710400 is an equidigital number, since it uses as much as digits as its factorization.

474004710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 31.

The spelling of 474004710400 in words is "four hundred seventy-four billion, four million, seven hundred ten thousand, four hundred".