516273408 has 324 divisors, whose sum is σ = 1840243860. Its totient is φ = 138313728.

The previous prime is 516273397. The next prime is 516273413. The reversal of 516273408 is 804372615.

It can be written as a sum of positive squares in 2 ways, for example, as 199148544 + 317124864 = 14112^2 + 17808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1919098 + ... + 1919366.

It is an arithmetic number, because the mean of its divisors is an integer number (5679765).

Almost surely, 2^516273408 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 516273408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920121930).

516273408 is an abundant number, since it is smaller than the sum of its proper divisors (1323970452).

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

516273408 is a wasteful number, since it uses less digits than its factorization.

516273408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 516273408 is about 22721.6506442644. The cubic root of 516273408 is about 802.2195695271.

The spelling of 516273408 in words is "five hundred sixteen million, two hundred seventy-three thousand, four hundred eight".