904806400 has 135 divisors (see below), whose sum is σ = 2292608689. Its totient is φ = 354222080.

The previous prime is 904806377. The next prime is 904806401. The reversal of 904806400 is 4608409.

The square root of 904806400 is 30080.

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., 325730304 + 579076096 = 18048^2 + 24064^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (904806401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19251177 + ... + 19251223.

Almost surely, 2^904806400 is an apocalyptic number.

904806400 is the 30080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904806400

904806400 is an abundant number, since it is smaller than the sum of its proper divisors (1387802289).

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

904806400 is an frugal number, since it uses more digits than its factorization.

904806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 904806400 is about 967.2050482252.

The spelling of 904806400 in words is "nine hundred four million, eight hundred six thousand, four hundred".