869523408 has 120 divisors (see below), whose sum is σ = 2684802120. Its totient is φ = 260997120.

The previous prime is 869523397. The next prime is 869523427. The reversal of 869523408 is 804325968.

869523408 is a `hidden beast` number, since 86 + 9 + 523 + 40 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22014864 + 847508544 = 4692^2 + 29112^2 .

It is a super-4 number, since 4×869523408⁴ (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71088 + ... + 82416.

It is an arithmetic number, because the mean of its divisors is an integer number (22373351).

Almost surely, 2^869523408 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 869523408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342401060).

869523408 is an abundant number, since it is smaller than the sum of its proper divisors (1815278712).

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

869523408 is a wasteful number, since it uses less digits than its factorization.

869523408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11397 (or 11388 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 869523408 is about 29487.6823097374. The cubic root of 869523408 is about 954.4659195871.

The spelling of 869523408 in words is "eight hundred sixty-nine million, five hundred twenty-three thousand, four hundred eight".