508314240 has 288 divisors, whose sum is σ = 2042981460. Its totient is φ = 116121600.

The previous prime is 508314217. The next prime is 508314271. The reversal of 508314240 is 42413805.

It can be written as a sum of positive squares in 2 ways, for example, as 469675584 + 38638656 = 21672^2 + 6216^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) 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 35 ways as a sum of consecutive naturals, for example, 281340 + ... + 283140.

Almost surely, 2^508314240 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 508314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021490730).

508314240 is an abundant number, since it is smaller than the sum of its proper divisors (1534667220).

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

508314240 is a wasteful number, since it uses less digits than its factorization.

508314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 508314240 is about 22545.8253341944. The cubic root of 508314240 is about 798.0757084219.

The spelling of 508314240 in words is "five hundred eight million, three hundred fourteen thousand, two hundred forty".