904038408 has 160 divisors (see below), whose sum is σ = 3116688960. Its totient is φ = 238412160.

The previous prime is 904038389. The next prime is 904038409. The reversal of 904038408 is 804830409.

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 (904038409) 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 39 ways as a sum of consecutive naturals, for example, 51303 + ... + 66633.

It is an arithmetic number, because the mean of its divisors is an integer number (19479306).

Almost surely, 2^904038408 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 904038408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558344480).

904038408 is an abundant number, since it is smaller than the sum of its proper divisors (2212650552).

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

904038408 is a wasteful number, since it uses less digits than its factorization.

904038408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15369 (or 15356 counting only the distinct ones).

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

The square root of 904038408 is about 30067.2314655008. The cubic root of 904038408 is about 966.9313189497.

The spelling of 904038408 in words is "nine hundred four million, thirty-eight thousand, four hundred eight".