506526720 has 264 divisors, whose sum is σ = 1887399504. Its totient is φ = 115605504.

The previous prime is 506526689. The next prime is 506526733. The reversal of 506526720 is 27625605.

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 zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752304 + ... + 752976.

Almost surely, 2^506526720 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 506526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943699752).

506526720 is an abundant number, since it is smaller than the sum of its proper divisors (1380872784).

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

506526720 is a wasteful number, since it uses less digits than its factorization.

506526720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 506526720 is about 22506.1484932451. The cubic root of 506526720 is about 797.1391146980.

The spelling of 506526720 in words is "five hundred six million, five hundred twenty-six thousand, seven hundred twenty".