506882880 has 672 divisors, whose sum is σ = 2245766400. Its totient is φ = 105283584.

The previous prime is 506882843. The next prime is 506882903. The reversal of 506882880 is 88288605.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17478706 + ... + 17478734.

Almost surely, 2^506882880 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 506882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122883200).

506882880 is an abundant number, since it is smaller than the sum of its proper divisors (1738883520).

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

506882880 is a wasteful number, since it uses less digits than its factorization.

506882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 506882880 is about 22514.0596072765. The cubic root of 506882880 is about 797.3259048113.

The spelling of 506882880 in words is "five hundred six million, eight hundred eighty-two thousand, eight hundred eighty".