523941264 has 320 divisors, whose sum is σ = 1976064000. Its totient is φ = 128770560.

The previous prime is 523941263. The next prime is 523941269. The reversal of 523941264 is 462149325.

It is a happy number.

523941264 is a `hidden beast` number, since 5 + 2 + 394 + 1 + 264 = 666.

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 (523941263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631602 + ... + 632430.

It is an arithmetic number, because the mean of its divisors is an integer number (6175200).

Almost surely, 2^523941264 is an apocalyptic number.

523941264 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 523941264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988032000).

523941264 is an abundant number, since it is smaller than the sum of its proper divisors (1452122736).

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

523941264 is a wasteful number, since it uses less digits than its factorization.

523941264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 871 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 523941264 is about 22889.7633015285. The cubic root of 523941264 is about 806.1716739486.

The spelling of 523941264 in words is "five hundred twenty-three million, nine hundred forty-one thousand, two hundred sixty-four".