506956320 has 576 divisors, whose sum is σ = 2080391040. Its totient is φ = 115458048.

The previous prime is 506956313. The next prime is 506956343. The reversal of 506956320 is 23659605.

506956320 is a `hidden beast` number, since 506 + 95 + 63 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8592451 + ... + 8592509.

It is an arithmetic number, because the mean of its divisors is an integer number (3611790).

Almost surely, 2^506956320 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 506956320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040195520).

506956320 is an abundant number, since it is smaller than the sum of its proper divisors (1573434720).

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

506956320 is a wasteful number, since it uses less digits than its factorization.

506956320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 506956320 is about 22515.6905290511. The cubic root of 506956320 is about 797.3644099499.

The spelling of 506956320 in words is "five hundred six million, nine hundred fifty-six thousand, three hundred twenty".