804488400 has 90 divisors (see below), whose sum is σ = 2791810710. Its totient is φ = 214529280.

The previous prime is 804488389. The next prime is 804488459. The reversal of 804488400 is 4884408.

It can be written as a sum of positive squares in 3 ways, for example, as 14653584 + 789834816 = 3828^2 + 28104^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 108135 + ... + 115334.

It is an arithmetic number, because the mean of its divisors is an integer number (31020119).

Almost surely, 2^804488400 is an apocalyptic number.

804488400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

804488400 is an abundant number, since it is smaller than the sum of its proper divisors (1987322310).

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

804488400 is a wasteful number, since it uses less digits than its factorization.

804488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223493 (or 223479 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 804488400 is about 28363.5047199742. The cubic root of 804488400 is about 930.0506389353.

The spelling of 804488400 in words is "eight hundred four million, four hundred eighty-eight thousand, four hundred".