869300352 has 96 divisors (see below), whose sum is σ = 2536014780. Its totient is φ = 285769728.

The previous prime is 869300351. The next prime is 869300363. The reversal of 869300352 is 253003968.

It can be written as a sum of positive squares in 2 ways, for example, as 814303296 + 54997056 = 28536^2 + 7416^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (869300351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78928 + ... + 89264.

Almost surely, 2^869300352 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 869300352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268007390).

869300352 is an abundant number, since it is smaller than the sum of its proper divisors (1666714428).

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

869300352 is a wasteful number, since it uses less digits than its factorization.

869300352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10430 (or 10415 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 869300352 is about 29483.8998777299. The cubic root of 869300352 is about 954.3842972656.

The spelling of 869300352 in words is "eight hundred sixty-nine million, three hundred thousand, three hundred fifty-two".