516109440 has 256 divisors, whose sum is σ = 2051619840. Its totient is φ = 107212800.

The previous prime is 516109387. The next prime is 516109493. The reversal of 516109440 is 44901615.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (516109387) and next prime (516109493).

It is a super-2 number, since 2×516109440² = 532737908114227200, 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 = 516109398 and 516109407.

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, 146095 + ... + 149585.

It is an arithmetic number, because the mean of its divisors is an integer number (8014140).

Almost surely, 2^516109440 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 516109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025809920).

516109440 is an abundant number, since it is smaller than the sum of its proper divisors (1535510400).

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

516109440 is a wasteful number, since it uses less digits than its factorization.

516109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 516109440 is about 22718.0421691659. The cubic root of 516109440 is about 802.1346324477.

The spelling of 516109440 in words is "five hundred sixteen million, one hundred nine thousand, four hundred forty".