404160800 has 36 divisors (see below), whose sum is σ = 986659506. Its totient is φ = 161664000.

The previous prime is 404160767. The next prime is 404160803. The reversal of 404160800 is 8061404.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 297079696 + 107081104 = 17236^2 + 10348^2 .

It is not an unprimeable number, because it can be changed into a prime (404160803) 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, 251801 + ... + 253400.

Almost surely, 2^404160800 is an apocalyptic number.

404160800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404160800 is an abundant number, since it is smaller than the sum of its proper divisors (582498706).

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

404160800 is a wasteful number, since it uses less digits than its factorization.

404160800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505221 (or 505208 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 404160800 is about 20103.7508938009. The cubic root of 404160800 is about 739.3522454291.

The spelling of 404160800 in words is "four hundred four million, one hundred sixty thousand, eight hundred".