875852460 has 288 divisors, whose sum is σ = 3217536000. Its totient is φ = 197188992.

The previous prime is 875852449. The next prime is 875852477. The reversal of 875852460 is 64258578.

875852460 is a `hidden beast` number, since 8 + 7 + 585 + 2 + 4 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2090131 + ... + 2090549.

It is an arithmetic number, because the mean of its divisors is an integer number (11172000).

Almost surely, 2^875852460 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 875852460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608768000).

875852460 is an abundant number, since it is smaller than the sum of its proper divisors (2341683540).

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

875852460 is a wasteful number, since it uses less digits than its factorization.

875852460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 875852460 is about 29594.8046116206. The cubic root of 875852460 is about 956.7760995841.

The spelling of 875852460 in words is "eight hundred seventy-five million, eight hundred fifty-two thousand, four hundred sixty".