506496120 has 128 divisors (see below), whose sum is σ = 1664409600. Its totient is φ = 122540544.

The previous prime is 506496103. The next prime is 506496139. The reversal of 506496120 is 21694605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89289 + ... + 94791.

It is an arithmetic number, because the mean of its divisors is an integer number (13003200).

Almost surely, 2^506496120 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 506496120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832204800).

506496120 is an abundant number, since it is smaller than the sum of its proper divisors (1157913480).

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

506496120 is a wasteful number, since it uses less digits than its factorization.

506496120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5589 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 506496120 is about 22505.4686687480. The cubic root of 506496120 is about 797.1230622719.

The spelling of 506496120 in words is "five hundred six million, four hundred ninety-six thousand, one hundred twenty".