506879520 has 288 divisors, whose sum is σ = 1940174208. Its totient is φ = 110702592.

The previous prime is 506879519. The next prime is 506879521. The reversal of 506879520 is 25978605.

It is an interprime number because it is at equal distance from previous prime (506879519) and next prime (506879521).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (506879521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540492 + ... + 541428.

It is an arithmetic number, because the mean of its divisors is an integer number (6736716).

Almost surely, 2^506879520 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 506879520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970087104).

506879520 is an abundant number, since it is smaller than the sum of its proper divisors (1433294688).

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

506879520 is a wasteful number, since it uses less digits than its factorization.

506879520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 506879520 is about 22513.9849871141. The cubic root of 506879520 is about 797.3241430493.

The spelling of 506879520 in words is "five hundred six million, eight hundred seventy-nine thousand, five hundred twenty".