506862720 has 384 divisors, whose sum is σ = 2156394240. Its totient is φ = 106831872.

The previous prime is 506862689. The next prime is 506862731. The reversal of 506862720 is 27268605.

506862720 is a `hidden beast` number, since 5 + 0 + 6 + 8 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523677 + ... + 524643.

It is an arithmetic number, because the mean of its divisors is an integer number (5615610).

Almost surely, 2^506862720 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 506862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078197120).

506862720 is an abundant number, since it is smaller than the sum of its proper divisors (1649531520).

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

506862720 is a wasteful number, since it uses less digits than its factorization.

506862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 506862720 is about 22513.6118825923. The cubic root of 506862720 is about 797.3153341226.

The spelling of 506862720 in words is "five hundred six million, eight hundred sixty-two thousand, seven hundred twenty".