904295851272 has 1152 divisors, whose sum is σ = 3112000819200. Its totient is φ = 244804032000.

The previous prime is 904295851219. The next prime is 904295851309. The reversal of 904295851272 is 272158592409.

904295851272 is a `hidden beast` number, since 9 + 0 + 4 + 2 + 9 + 58 + 512 + 72 = 666.

It is a super-2 number, since 2×904295851272² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8451363043 + ... + 8451363149.

It is an arithmetic number, because the mean of its divisors is an integer number (2701389600).

Almost surely, 2^904295851272 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 904295851272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556000409600).

904295851272 is an abundant number, since it is smaller than the sum of its proper divisors (2207704967928).

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

904295851272 is a wasteful number, since it uses less digits than its factorization.

904295851272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 904295851272 in words is "nine hundred four billion, two hundred ninety-five million, eight hundred fifty-one thousand, two hundred seventy-two".