509427240 has 256 divisors, whose sum is σ = 1873152000. Its totient is φ = 108241920.

The previous prime is 509427229. The next prime is 509427263. The reversal of 509427240 is 42724905.

509427240 is a nontrivial binomial coefficient, being equal to C(31920, 2).

It is a super-2 number, since 2×509427240² = 519032225708035200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 941370 + ... + 941910.

It is an arithmetic number, because the mean of its divisors is an integer number (7317000).

Almost surely, 2^509427240 is an apocalyptic number.

509427240 is the 31919-th triangular number and also the 15960-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509427240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936576000).

509427240 is an abundant number, since it is smaller than the sum of its proper divisors (1363724760).

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

509427240 is a wasteful number, since it uses less digits than its factorization.

509427240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 509427240 is about 22570.4948993149. The cubic root of 509427240 is about 798.6577701165.

The spelling of 509427240 in words is "five hundred nine million, four hundred twenty-seven thousand, two hundred forty".