523238400 has 264 divisors, whose sum is σ = 1924016240. Its totient is φ = 139345920.

The previous prime is 523238369. The next prime is 523238407. The reversal of 523238400 is 4832325.

523238400 is a `hidden beast` number, since 5 + 23 + 238 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523238407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690822 + ... + 691578.

Almost surely, 2^523238400 is an apocalyptic number.

523238400 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 523238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962008120).

523238400 is an abundant number, since it is smaller than the sum of its proper divisors (1400777840).

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

523238400 is a wasteful number, since it uses less digits than its factorization.

523238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 767 counting only the distinct ones).

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

The square root of 523238400 is about 22874.4049102922. The cubic root of 523238400 is about 805.8110211733.

The spelling of 523238400 in words is "five hundred twenty-three million, two hundred thirty-eight thousand, four hundred".