904378320 has 120 divisors (see below), whose sum is σ = 3045954600. Its totient is φ = 240473088.

The previous prime is 904378249. The next prime is 904378327. The reversal of 904378320 is 23873409.

It can be written as a sum of positive squares in 4 ways, for example, as 5817744 + 898560576 = 2412^2 + 29976^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904378327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278466 + ... + 281694.

It is an arithmetic number, because the mean of its divisors is an integer number (25382955).

Almost surely, 2^904378320 is an apocalyptic number.

904378320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904378320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522977300).

904378320 is an abundant number, since it is smaller than the sum of its proper divisors (2141576280).

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

904378320 is a wasteful number, since it uses less digits than its factorization.

904378320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 904378320 is about 30072.8834666714. The cubic root of 904378320 is about 967.0524901933.

The spelling of 904378320 in words is "nine hundred four million, three hundred seventy-eight thousand, three hundred twenty".