845195904 has 512 divisors, whose sum is σ = 3133440000. Its totient is φ = 223534080.

The previous prime is 845195893. The next prime is 845195933. The reversal of 845195904 is 409591548.

845195904 is a `hidden beast` number, since 8 + 4 + 51 + 9 + 590 + 4 = 666.

It is a super-2 number, since 2×845195904² = 1428712232276754432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 845195904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27264369 + ... + 27264399.

It is an arithmetic number, because the mean of its divisors is an integer number (6120000).

Almost surely, 2^845195904 is an apocalyptic number.

845195904 is a gapful number since it is divisible by the number (84) 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 845195904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566720000).

845195904 is an abundant number, since it is smaller than the sum of its proper divisors (2288244096).

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

845195904 is a wasteful number, since it uses less digits than its factorization.

845195904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 845195904 is about 29072.2531634547. The cubic root of 845195904 is about 945.4802497225.

The spelling of 845195904 in words is "eight hundred forty-five million, one hundred ninety-five thousand, nine hundred four".