506880000 has 420 divisors, whose sum is σ = 1996039188. Its totient is φ = 122880000.

The previous prime is 506879993. The next prime is 506880013. The reversal of 506880000 is 88605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 46079995 + ... + 46080005.

Almost surely, 2^506880000 is an apocalyptic number.

506880000 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 506880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998019594).

506880000 is an abundant number, since it is smaller than the sum of its proper divisors (1489159188).

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

506880000 is an equidigital number, since it uses as much as digits as its factorization.

506880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 506880000 is about 22513.9956471525. The cubic root of 506880000 is about 797.3243947301.

The spelling of 506880000 in words is "five hundred six million, eight hundred eighty thousand".