523400 has 24 divisors (see below), whose sum is σ = 1217370. Its totient is φ = 209280.

The previous prime is 523387. The next prime is 523403. The reversal of 523400 is 4325.

523400 = T₁₉₂ + T₁₉₃ + ... + T₂₁₆.

523400 = 80² + 81² + ... + 127².

It can be written as a sum of positive squares in 3 ways, for example, as 498436 + 24964 = 706^2 + 158^2 .

It is not an unprimeable number, because it can be changed into a prime (523403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1109 + ... + 1508.

2⁵²³⁴⁰⁰ is an apocalyptic number.

523400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

523400 is an abundant number, since it is smaller than the sum of its proper divisors (693970).

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

523400 is a wasteful number, since it uses less digits than its factorization.

523400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 523400 is about 723.4638899074. The cubic root of 523400 is about 80.5893969760.

Adding to 523400 its reverse (4325), we get a palindrome (527725).

The spelling of 523400 in words is "five hundred twenty-three thousand, four hundred".