516053408 has 48 divisors (see below), whose sum is σ = 1096632936. Its totient is φ = 237634560.

The previous prime is 516053407. The next prime is 516053423. The reversal of 516053408 is 804350615.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 277289104 + 238764304 = 16652^2 + 15452^2 .

It is a super-2 number, since 2×516053408² = 532622239816828928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (516053407) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 223910 + ... + 226202.

Almost surely, 2^516053408 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 516053408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548316468).

516053408 is an abundant number, since it is smaller than the sum of its proper divisors (580579528).

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

516053408 is a wasteful number, since it uses less digits than its factorization.

516053408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 516053408 is about 22716.8089308336. The cubic root of 516053408 is about 802.1056031819.

The spelling of 516053408 in words is "five hundred sixteen million, fifty-three thousand, four hundred eight".