517201920 has 336 divisors, whose sum is σ = 1901476512. Its totient is φ = 129761280.

The previous prime is 517201913. The next prime is 517201933. The reversal of 517201920 is 29102715.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8478690 + ... + 8478750.

Almost surely, 2^517201920 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 517201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950738256).

517201920 is an abundant number, since it is smaller than the sum of its proper divisors (1384274592).

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

517201920 is a wasteful number, since it uses less digits than its factorization.

517201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 517201920 is about 22742.0737840682. The cubic root of 517201920 is about 802.7002091675.

The spelling of 517201920 in words is "five hundred seventeen million, two hundred one thousand, nine hundred twenty".