517440672 has 288 divisors, whose sum is σ = 1771241472. Its totient is φ = 140216832.

The previous prime is 517440653. The next prime is 517440727. The reversal of 517440672 is 276044715.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×517440672³ (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4074273 + ... + 4074399.

It is an arithmetic number, because the mean of its divisors is an integer number (6150144).

Almost surely, 2^517440672 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 517440672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885620736).

517440672 is an abundant number, since it is smaller than the sum of its proper divisors (1253800800).

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

517440672 is a wasteful number, since it uses less digits than its factorization.

517440672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 517440672 is about 22747.3223039548. The cubic root of 517440672 is about 802.8237049700.

The spelling of 517440672 in words is "five hundred seventeen million, four hundred forty thousand, six hundred seventy-two".