904212288 has 336 divisors, whose sum is σ = 3161995200. Its totient is φ = 252564480.

The previous prime is 904212259. The next prime is 904212289. The reversal of 904212288 is 882212409.

904212288 is a `hidden beast` number, since 9 + 0 + 421 + 228 + 8 = 666.

904212288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904212289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4995558 + ... + 4995738.

It is an arithmetic number, because the mean of its divisors is an integer number (9410700).

Almost surely, 2^904212288 is an apocalyptic number.

904212288 is a gapful number since it is divisible by the number (98) 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 904212288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580997600).

904212288 is an abundant number, since it is smaller than the sum of its proper divisors (2257782912).

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

904212288 is a wasteful number, since it uses less digits than its factorization.

904212288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 904212288 is about 30070.1228464401. The cubic root of 904212288 is about 966.9933071861.

The spelling of 904212288 in words is "nine hundred four million, two hundred twelve thousand, two hundred eighty-eight".