506288880 has 400 divisors, whose sum is σ = 1901306880. Its totient is φ = 124540416.

The previous prime is 506288879. The next prime is 506288891. The reversal of 506288880 is 88882605.

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 79 ways as a sum of consecutive naturals, for example, 6408681 + ... + 6408759.

Almost surely, 2^506288880 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 506288880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950653440).

506288880 is an abundant number, since it is smaller than the sum of its proper divisors (1395018000).

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

506288880 is a wasteful number, since it uses less digits than its factorization.

506288880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

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

The square root of 506288880 is about 22500.8639834118. The cubic root of 506288880 is about 797.0143294092.

The spelling of 506288880 in words is "five hundred six million, two hundred eighty-eight thousand, eight hundred eighty".