516040440 has 128 divisors (see below), whose sum is σ = 1652555520. Its totient is φ = 128460800.

The previous prime is 516040417. The next prime is 516040451. The reversal of 516040440 is 44040615.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 516040440.

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, 266275 + ... + 268205.

It is an arithmetic number, because the mean of its divisors is an integer number (12910590).

Almost surely, 2^516040440 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 516040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826277760).

516040440 is an abundant number, since it is smaller than the sum of its proper divisors (1136515080).

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

516040440 is a wasteful number, since it uses less digits than its factorization.

516040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 516040440 is about 22716.5235016276. The cubic root of 516040440 is about 802.0988843731.

The spelling of 516040440 in words is "five hundred sixteen million, forty thousand, four hundred forty".