904828320 has 360 divisors, whose sum is σ = 3516063012. Its totient is φ = 218972160.

The previous prime is 904828283. The next prime is 904828321. The reversal of 904828320 is 23828409.

It can be written as a sum of positive squares in 2 ways, for example, as 835672464 + 69155856 = 28908^2 + 8316^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (904828321) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1567872 + ... + 1568448.

Almost surely, 2^904828320 is an apocalyptic number.

904828320 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 904828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758031506).

904828320 is an abundant number, since it is smaller than the sum of its proper divisors (2611234692).

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

904828320 is a wasteful number, since it uses less digits than its factorization.

904828320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 904828320 is about 30080.3643594954. The cubic root of 904828320 is about 967.2128587223.

The spelling of 904828320 in words is "nine hundred four million, eight hundred twenty-eight thousand, three hundred twenty".