509422240 has 48 divisors (see below), whose sum is σ = 1207271520. Its totient is φ = 203132160.

The previous prime is 509422229. The next prime is 509422261. The reversal of 509422240 is 42224905.

It is a super-2 number, since 2×509422240² = 519022037213235200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 509422199 and 509422208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48151 + ... + 57769.

It is an arithmetic number, because the mean of its divisors is an integer number (25151490).

Almost surely, 2^509422240 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 509422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603635760).

509422240 is an abundant number, since it is smaller than the sum of its proper divisors (697849280).

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

509422240 is a wasteful number, since it uses less digits than its factorization.

509422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9965 (or 9957 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 509422240 is about 22570.3841349677. The cubic root of 509422240 is about 798.6551571807.

The spelling of 509422240 in words is "five hundred nine million, four hundred twenty-two thousand, two hundred forty".