523222400 has 96 divisors (see below), whose sum is σ = 1348909200. Its totient is φ = 200161280.

The previous prime is 523222373. The next prime is 523222429. The reversal of 523222400 is 4222325.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70046 + ... + 77154.

Almost surely, 2^523222400 is an apocalyptic number.

523222400 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 523222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674454600).

523222400 is an abundant number, since it is smaller than the sum of its proper divisors (825686800).

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

523222400 is a wasteful number, since it uses less digits than its factorization.

523222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 523222400 is about 22874.0551717443. The cubic root of 523222400 is about 805.8028075127.

Adding to 523222400 its reverse (4222325), we get a palindrome (527444725).

The spelling of 523222400 in words is "five hundred twenty-three million, two hundred twenty-two thousand, four hundred".