904960000 has 240 divisors, whose sum is σ = 2609727120. Its totient is φ = 307200000.

The previous prime is 904959989. The next prime is 904960009. The reversal of 904960000 is 69409.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904960009) 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 19 ways as a sum of consecutive naturals, for example, 8959950 + ... + 8960050.

It is an arithmetic number, because the mean of its divisors is an integer number (10873863).

Almost surely, 2^904960000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304863560).

904960000 is an abundant number, since it is smaller than the sum of its proper divisors (1704767120).

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

904960000 is an equidigital number, since it uses as much as digits as its factorization.

904960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 904960000 is about 30082.5530831411. The cubic root of 904960000 is about 967.2597760614.

The spelling of 904960000 in words is "nine hundred four million, nine hundred sixty thousand".