506957880 has 256 divisors, whose sum is σ = 1846333440. Its totient is φ = 109670400.

The previous prime is 506957861. The next prime is 506957909. The reversal of 506957880 is 88759605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531484 + ... + 532436.

It is an arithmetic number, because the mean of its divisors is an integer number (7212240).

Almost surely, 2^506957880 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 506957880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923166720).

506957880 is an abundant number, since it is smaller than the sum of its proper divisors (1339375560).

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

506957880 is a wasteful number, since it uses less digits than its factorization.

506957880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 506957880 is about 22515.7251715329. The cubic root of 506957880 is about 797.3652278292.

The spelling of 506957880 in words is "five hundred six million, nine hundred fifty-seven thousand, eight hundred eighty".