508770720 has 240 divisors, whose sum is σ = 1845802728. Its totient is φ = 131880960.

The previous prime is 508770701. The next prime is 508770721. The reversal of 508770720 is 27077805.

It can be written as a sum of positive squares in 4 ways, for example, as 496576656 + 12194064 = 22284^2 + 3492^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (508770721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 478990 + ... + 480050.

Almost surely, 2^508770720 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 508770720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922901364).

508770720 is an abundant number, since it is smaller than the sum of its proper divisors (1337032008).

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

508770720 is a wasteful number, since it uses less digits than its factorization.

508770720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 508770720 is about 22555.9464443415. The cubic root of 508770720 is about 798.3145348361.

The spelling of 508770720 in words is "five hundred eight million, seven hundred seventy thousand, seven hundred twenty".