516400038 has 96 divisors (see below), whose sum is σ = 1401903360. Its totient is φ = 133462080.

The previous prime is 516400019. The next prime is 516400039. The reversal of 516400038 is 830004615.

It is a junction number, because it is equal to n+sod(n) for n = 516399984 and 516400020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516400039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316581 + ... + 318207.

It is an arithmetic number, because the mean of its divisors is an integer number (14603160).

Almost surely, 2^516400038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516400038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700951680).

516400038 is an abundant number, since it is smaller than the sum of its proper divisors (885503322).

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

516400038 is a wasteful number, since it uses less digits than its factorization.

516400038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 516400038 is about 22724.4370227295. The cubic root of 516400038 is about 802.2851528389.

The spelling of 516400038 in words is "five hundred sixteen million, four hundred thousand, thirty-eight".