523402884 has 135 divisors (see below), whose sum is σ = 1449165333. Its totient is φ = 164721600.

The previous prime is 523402877. The next prime is 523402889. The reversal of 523402884 is 488204325.

The square root of 523402884 is 22878.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25220484 + 498182400 = 5022^2 + 22320^2 .

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 (523402889) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12765904 + ... + 12765944.

Almost surely, 2^523402884 is an apocalyptic number.

523402884 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

523402884 is the 22878-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523402884

523402884 is an abundant number, since it is smaller than the sum of its proper divisors (925762449).

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

523402884 is a wasteful number, since it uses less digits than its factorization.

523402884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The cubic root of 523402884 is about 805.8954499498.

Multiplying 523402884 by its sum of digits (36), we get a square (18842503824 = 137268²).

523402884 divided by its sum of digits (36) gives a square (14538969 = 3813²).

The spelling of 523402884 in words is "five hundred twenty-three million, four hundred two thousand, eight hundred eighty-four".