904490496 has 320 divisors, whose sum is σ = 3299788800. Its totient is φ = 238215168.

The previous prime is 904490471. The next prime is 904490501. The reversal of 904490496 is 694094409.

904490496 = T₄₄₁₃ + T₄₄₁₄ + ... + T₄₅₀₃.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257625 + ... + 1258343.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840).

Almost surely, 2^904490496 is an apocalyptic number.

904490496 is a gapful number since it is divisible by the number (96) 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 904490496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649894400).

904490496 is an abundant number, since it is smaller than the sum of its proper divisors (2395298304).

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

904490496 is a wasteful number, since it uses less digits than its factorization.

904490496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 904490496 is about 30074.7484777512. The cubic root of 904490496 is about 967.0924718370.

The spelling of 904490496 in words is "nine hundred four million, four hundred ninety thousand, four hundred ninety-six".