523044864 has 144 divisors (see below), whose sum is σ = 1568090160. Its totient is φ = 174182400.

The previous prime is 523044829. The next prime is 523044869. The reversal of 523044864 is 468440325.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×523044864³ (a number of 27 digits) contains 333 as substring.

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 (523044869) 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, 497139 + ... + 498189.

It is an arithmetic number, because the mean of its divisors is an integer number (10889515).

Almost surely, 2^523044864 is an apocalyptic number.

523044864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523044864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784045080).

523044864 is an abundant number, since it is smaller than the sum of its proper divisors (1045045296).

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

523044864 is an equidigital number, since it uses as much as digits as its factorization.

523044864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 523044864 is about 22870.1741138978. The cubic root of 523044864 is about 805.7116574964.

The spelling of 523044864 in words is "five hundred twenty-three million, forty-four thousand, eight hundred sixty-four".