516276240 has 80 divisors (see below), whose sum is σ = 1612771776. Its totient is φ = 136614400.

The previous prime is 516276217. The next prime is 516276251. The reversal of 516276240 is 42672615.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23230 + ... + 39650.

Almost surely, 2^516276240 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 516276240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806385888).

516276240 is an abundant number, since it is smaller than the sum of its proper divisors (1096495536).

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

516276240 is a wasteful number, since it uses less digits than its factorization.

516276240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16568 (or 16562 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 516276240 is about 22721.7129635950. The cubic root of 516276240 is about 802.2210363737.

The spelling of 516276240 in words is "five hundred sixteen million, two hundred seventy-six thousand, two hundred forty".