506323720 has 64 divisors (see below), whose sum is σ = 1320364800. Its totient is φ = 171144960.

The previous prime is 506323717. The next prime is 506323747. The reversal of 506323720 is 27323605.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7146 + ... + 32614.

It is an arithmetic number, because the mean of its divisors is an integer number (20630700).

Almost surely, 2^506323720 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 506323720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660182400).

506323720 is an abundant number, since it is smaller than the sum of its proper divisors (814041080).

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

506323720 is a wasteful number, since it uses less digits than its factorization.

506323720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25558 (or 25554 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 506323720 is about 22501.6381625872. The cubic root of 506323720 is about 797.0326110289.

The spelling of 506323720 in words is "five hundred six million, three hundred twenty-three thousand, seven hundred twenty".