516279456 has 288 divisors, whose sum is σ = 1892007936. Its totient is φ = 129600000.

The previous prime is 516279451. The next prime is 516279461. The reversal of 516279456 is 654972615.

It is an interprime number because it is at equal distance from previous prime (516279451) and next prime (516279461).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (516279451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687081 + ... + 687831.

It is an arithmetic number, because the mean of its divisors is an integer number (6569472).

Almost surely, 2^516279456 is an apocalyptic number.

516279456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516279456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946003968).

516279456 is an abundant number, since it is smaller than the sum of its proper divisors (1375728480).

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

516279456 is a wasteful number, since it uses less digits than its factorization.

516279456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 805 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 516279456 is about 22721.7837327970. The cubic root of 516279456 is about 802.2227021082. Note that the first 3 decimals are identical.

It can be divided in two parts, 516 and 279456, that added together give a palindrome (279972).

The spelling of 516279456 in words is "five hundred sixteen million, two hundred seventy-nine thousand, four hundred fifty-six".