523114400 has 36 divisors (see below), whose sum is σ = 1277054982. Its totient is φ = 209245440.

The previous prime is 523114387. The next prime is 523114411. The reversal of 523114400 is 4411325.

It can be written as a sum of positive squares in 3 ways, for example, as 445885456 + 77228944 = 21116^2 + 8788^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 326147 + ... + 327746.

Almost surely, 2^523114400 is an apocalyptic number.

523114400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

523114400 is an abundant number, since it is smaller than the sum of its proper divisors (753940582).

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

523114400 is a wasteful number, since it uses less digits than its factorization.

523114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653913 (or 653900 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 523114400 is about 22871.6942966629. The cubic root of 523114400 is about 805.7473609240.

Adding to 523114400 its reverse (4411325), we get a palindrome (527525725).

The spelling of 523114400 in words is "five hundred twenty-three million, one hundred fourteen thousand, four hundred".