508506400 has 72 divisors (see below), whose sum is σ = 1244920320. Its totient is φ = 202824960.

The previous prime is 508506371. The next prime is 508506403. The reversal of 508506400 is 4605805.

It is not an unprimeable number, because it can be changed into a prime (508506403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 382537 + ... + 383863.

It is an arithmetic number, because the mean of its divisors is an integer number (17290560).

Almost surely, 2^508506400 is an apocalyptic number.

508506400 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 508506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622460160).

508506400 is an abundant number, since it is smaller than the sum of its proper divisors (736413920).

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

508506400 is a wasteful number, since it uses less digits than its factorization.

508506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 508506400 is about 22550.0864743353. The cubic root of 508506400 is about 798.1762623019.

The spelling of 508506400 in words is "five hundred eight million, five hundred six thousand, four hundred".