904209240 has 256 divisors, whose sum is σ = 3218227200. Its totient is φ = 200793600.

The previous prime is 904209233. The next prime is 904209247. The reversal of 904209240 is 42902409.

904209240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (904209233) and next prime (904209247).

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 = 904209198 and 904209207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904209247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 776899 + ... + 778061.

It is an arithmetic number, because the mean of its divisors is an integer number (12571200).

Almost surely, 2^904209240 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 904209240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609113600).

904209240 is an abundant number, since it is smaller than the sum of its proper divisors (2314017960).

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

904209240 is a wasteful number, since it uses less digits than its factorization.

904209240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 904209240 is about 30070.0721648619. The cubic root of 904209240 is about 966.9922206423.

The spelling of 904209240 in words is "nine hundred four million, two hundred nine thousand, two hundred forty".