517076040 has 128 divisors (see below), whose sum is σ = 1676505600. Its totient is φ = 126827520.

The previous prime is 517076039. The next prime is 517076069. The reversal of 517076040 is 40670715.

It is a happy number.

It is a super-2 number, since 2×517076040² = 534735262284163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 517075989 and 517076007.

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, 718801 + ... + 719519.

It is an arithmetic number, because the mean of its divisors is an integer number (13097700).

Almost surely, 2^517076040 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 517076040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838252800).

517076040 is an abundant number, since it is smaller than the sum of its proper divisors (1159429560).

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

517076040 is a wasteful number, since it uses less digits than its factorization.

517076040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 517076040 is about 22739.3060580133. The cubic root of 517076040 is about 802.6350817339.

The spelling of 517076040 in words is "five hundred seventeen million, seventy-six thousand, forty".