516400248 has 256 divisors, whose sum is σ = 1670860800. Its totient is φ = 129392640.

The previous prime is 516400103. The next prime is 516400249. The reversal of 516400248 is 842004615.

It is a super-2 number, since 2×516400248² = 533338432268923008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516400249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6536673 + ... + 6536751.

It is an arithmetic number, because the mean of its divisors is an integer number (6526800).

Almost surely, 2^516400248 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 516400248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835430400).

516400248 is an abundant number, since it is smaller than the sum of its proper divisors (1154460552).

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

516400248 is a wasteful number, since it uses less digits than its factorization.

516400248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 516400248 is about 22724.4416433056. The cubic root of 516400248 is about 802.2852615917.

The spelling of 516400248 in words is "five hundred sixteen million, four hundred thousand, two hundred forty-eight".