904476948480 has 1344 divisors, whose sum is σ = 3918683059200. Its totient is φ = 195641671680.

The previous prime is 904476948437. The next prime is 904476948547. The reversal of 904476948480 is 84849674409.

904476948480 is a `hidden beast` number, since 9 + 0 + 4 + 4 + 76 + 9 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 992839225 + ... + 992840135.

It is an arithmetic number, because the mean of its divisors is an integer number (2915686800).

Almost surely, 2^904476948480 is an apocalyptic number.

904476948480 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 904476948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959341529600).

904476948480 is an abundant number, since it is smaller than the sum of its proper divisors (3014206110720).

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

904476948480 is an equidigital number, since it uses as much as digits as its factorization.

904476948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 904476948480 in words is "nine hundred four billion, four hundred seventy-six million, nine hundred forty-eight thousand, four hundred eighty".