517004096 has 84 divisors (see below), whose sum is σ = 1222840836. Its totient is φ = 216115200.

The previous prime is 517004069. The next prime is 517004101. The reversal of 517004096 is 690400715.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27709696 + 489294400 = 5264^2 + 22120^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126566 + ... + 130586.

It is an arithmetic number, because the mean of its divisors is an integer number (14557629).

Almost surely, 2^517004096 is an apocalyptic number.

517004096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611420418).

517004096 is an abundant number, since it is smaller than the sum of its proper divisors (705836740).

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

517004096 is a wasteful number, since it uses less digits than its factorization.

517004096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 517004096 is about 22737.7240725628. The cubic root of 517004096 is about 802.5978548065.

The spelling of 517004096 in words is "five hundred seventeen million, four thousand, ninety-six".