875452032 has 288 divisors, whose sum is σ = 3158571780. Its totient is φ = 230694912.

The previous prime is 875451991. The next prime is 875452099. The reversal of 875452032 is 230254578.

875452032 is a `hidden beast` number, since 87 + 54 + 520 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 844716096 + 30735936 = 29064^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 733228 + ... + 734420.

Almost surely, 2^875452032 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 875452032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579285890).

875452032 is an abundant number, since it is smaller than the sum of its proper divisors (2283119748).

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

875452032 is a wasteful number, since it uses less digits than its factorization.

875452032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 875452032 is about 29588.0386642981. The cubic root of 875452032 is about 956.6302689569.

The spelling of 875452032 in words is "eight hundred seventy-five million, four hundred fifty-two thousand, thirty-two".