517312440 has 256 divisors, whose sum is σ = 1814400000. Its totient is φ = 130927104.

The previous prime is 517312399. The next prime is 517312451. The reversal of 517312440 is 44213715.

It is a super-2 number, since 2×517312440² = 535224321157507200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 2599461 + ... + 2599659.

It is an arithmetic number, because the mean of its divisors is an integer number (7087500).

Almost surely, 2^517312440 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 517312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200000).

517312440 is an abundant number, since it is smaller than the sum of its proper divisors (1297087560).

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

517312440 is a wasteful number, since it uses less digits than its factorization.

517312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 517312440 is about 22744.5035118378. The cubic root of 517312440 is about 802.7573809769.

The spelling of 517312440 in words is "five hundred seventeen million, three hundred twelve thousand, four hundred forty".