508572 has 48 divisors (see below), whose sum is σ = 1401120. Its totient is φ = 158976.

The previous prime is 508567. The next prime is 508577. The reversal of 508572 is 275805.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (508567) and next prime (508577).

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 (508577) by changing a digit.

508572 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 15 ways as a sum of consecutive naturals, for example, 1698 + ... + 1974.

It is an arithmetic number, because the mean of its divisors is an integer number (29190).

2⁵⁰⁸⁵⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700560).

508572 is an abundant number, since it is smaller than the sum of its proper divisors (892548).

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

508572 is a wasteful number, since it uses less digits than its factorization.

508572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 508572 is about 713.1423420328. The cubic root of 508572 is about 79.8210583805.

The spelling of 508572 in words is "five hundred eight thousand, five hundred seventy-two".