904144896 has 192 divisors, whose sum is σ = 2724321600. Its totient is φ = 296239104.

The previous prime is 904144831. The next prime is 904144907. The reversal of 904144896 is 698441409.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4589470 + ... + 4589666.

It is an arithmetic number, because the mean of its divisors is an integer number (14189175).

Almost surely, 2^904144896 is an apocalyptic number.

904144896 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 904144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362160800).

904144896 is an abundant number, since it is smaller than the sum of its proper divisors (1820176704).

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

904144896 is a wasteful number, since it uses less digits than its factorization.

904144896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 904144896 is about 30069.0022448368. The cubic root of 904144896 is about 966.9692828750.

The spelling of 904144896 in words is "nine hundred four million, one hundred forty-four thousand, eight hundred ninety-six".