508400 has 60 divisors (see below), whose sum is σ = 1291584. Its totient is φ = 192000.

The previous prime is 508393. The next prime is 508433. The reversal of 508400 is 4805.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

508400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12380 + ... + 12420.

2⁵⁰⁸⁴⁰⁰ is an apocalyptic number.

508400 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 508400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645792).

508400 is an abundant number, since it is smaller than the sum of its proper divisors (783184).

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

508400 is a wasteful number, since it uses less digits than its factorization.

508400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 508400 is about 713.0217387990. The cubic root of 508400 is about 79.8120588222.

The spelling of 508400 in words is "five hundred eight thousand, four hundred".