523399680 has 120 divisors (see below), whose sum is σ = 1812760092. Its totient is φ = 139567104.

The previous prime is 523399649. The next prime is 523399693. The reversal of 523399680 is 86993325.

523399680 is a `hidden beast` number, since 523 + 39 + 96 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 511121664 + 12278016 = 22608^2 + 3504^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 11 ways as a sum of consecutive naturals, for example, 11682 + ... + 34398.

Almost surely, 2^523399680 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 523399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906380046).

523399680 is an abundant number, since it is smaller than the sum of its proper divisors (1289360412).

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

523399680 is a wasteful number, since it uses less digits than its factorization.

523399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22746 (or 22727 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 523399680 is about 22877.9299762894. The cubic root of 523399680 is about 805.8938055223.

The spelling of 523399680 in words is "five hundred twenty-three million, three hundred ninety-nine thousand, six hundred eighty".