517952340 has 96 divisors (see below), whose sum is σ = 1663441920. Its totient is φ = 133660800.

The previous prime is 517952317. The next prime is 517952353. The reversal of 517952340 is 43259715.

It is a super-2 number, since 2×517952340² = 536549253022951200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 517952295 and 517952304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270 + ... + 32210.

It is an arithmetic number, because the mean of its divisors is an integer number (17327520).

Almost surely, 2^517952340 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 517952340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831720960).

517952340 is an abundant number, since it is smaller than the sum of its proper divisors (1145489580).

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

517952340 is a wasteful number, since it uses less digits than its factorization.

517952340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30990 (or 30982 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 517952340 is about 22758.5662993080. The cubic root of 517952340 is about 803.0882402086.

The spelling of 517952340 in words is "five hundred seventeen million, nine hundred fifty-two thousand, three hundred forty".