904038240 has 576 divisors, whose sum is σ = 3713472000. Its totient is φ = 184246272.

The previous prime is 904038227. The next prime is 904038263. The reversal of 904038240 is 42830409.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 904038198 and 904038207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47580951 + ... + 47580969.

It is an arithmetic number, because the mean of its divisors is an integer number (6447000).

Almost surely, 2^904038240 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 904038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856736000).

904038240 is an abundant number, since it is smaller than the sum of its proper divisors (2809433760).

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

904038240 is a wasteful number, since it uses less digits than its factorization.

904038240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 904038240 is about 30067.2286717616. The cubic root of 904038240 is about 966.9312590538.

Adding to 904038240 its reverse (42830409), we get a palindrome (946868649).

The spelling of 904038240 in words is "nine hundred four million, thirty-eight thousand, two hundred forty".