523832400 has 720 divisors, whose sum is σ = 2363598720. Its totient is φ = 107827200.

The previous prime is 523832399. The next prime is 523832417. The reversal of 523832400 is 4238325.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12776380 + ... + 12776420.

It is an arithmetic number, because the mean of its divisors is an integer number (3282776).

Almost surely, 2^523832400 is an apocalyptic number.

523832400 is a gapful number since it is divisible by the number (50) 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 523832400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181799360).

523832400 is an abundant number, since it is smaller than the sum of its proper divisors (1839766320).

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

523832400 is a wasteful number, since it uses less digits than its factorization.

523832400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 523832400 is about 22887.3851717491. The cubic root of 523832400 is about 806.1158348954.

The spelling of 523832400 in words is "five hundred twenty-three million, eight hundred thirty-two thousand, four hundred".