506713920 has 224 divisors, whose sum is σ = 1714390272. Its totient is φ = 126517248.

The previous prime is 506713919. The next prime is 506713939. The reversal of 506713920 is 29317605.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 1170024 + ... + 1170456.

It is an arithmetic number, because the mean of its divisors is an integer number (7653528).

Almost surely, 2^506713920 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 506713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857195136).

506713920 is an abundant number, since it is smaller than the sum of its proper divisors (1207676352).

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

506713920 is a wasteful number, since it uses less digits than its factorization.

506713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 506713920 is about 22510.3069725848. The cubic root of 506713920 is about 797.2373037022.

The spelling of 506713920 in words is "five hundred six million, seven hundred thirteen thousand, nine hundred twenty".