878465952 has 192 divisors, whose sum is σ = 3153749760. Its totient is φ = 231662592.

The previous prime is 878465947. The next prime is 878465971. The reversal of 878465952 is 259564878.

878465952 is a `hidden beast` number, since 8 + 7 + 8 + 46 + 595 + 2 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73038 + ... + 84210.

It is an arithmetic number, because the mean of its divisors is an integer number (16425780).

Almost surely, 2^878465952 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 878465952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576874880).

878465952 is an abundant number, since it is smaller than the sum of its proper divisors (2275283808).

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

878465952 is a wasteful number, since it uses less digits than its factorization.

878465952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11212 (or 11198 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 878465952 is about 29638.9262963421. The cubic root of 878465952 is about 957.7268090432.

The spelling of 878465952 in words is "eight hundred seventy-eight million, four hundred sixty-five thousand, nine hundred fifty-two".