404597766400 has 81 divisors (see below), whose sum is σ = 1001568657873. Its totient is φ = 161818752000.

The previous prime is 404597766347. The next prime is 404597766401. The reversal of 404597766400 is 4667795404.

The square root of 404597766400 is 636080.

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

It can be written as a sum of positive squares in only one way, i.e., 145655195904 + 258942570496 = 381648^2 + 508864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404597766401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50882425 + ... + 50890375.

Almost surely, 2^404597766400 is an apocalyptic number.

404597766400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

404597766400 is the 636080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404597766400

404597766400 is an abundant number, since it is smaller than the sum of its proper divisors (596970891473).

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

404597766400 is an frugal number, since it uses more digits than its factorization.

404597766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15928 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 404597766400 in words is "four hundred four billion, five hundred ninety-seven million, seven hundred sixty-six thousand, four hundred".