516957248 has 56 divisors (see below), whose sum is σ = 1076431680. Its totient is φ = 245987840.

The previous prime is 516957241. The next prime is 516957251. The reversal of 516957248 is 842759615.

It is a happy number.

It is a super-4 number, since 4×516957248⁴ (a number of 36 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (516957241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129815 + ... + 133737.

Almost surely, 2^516957248 is an apocalyptic number.

516957248 is a gapful number since it is divisible by the number (58) 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 516957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538215840).

516957248 is an abundant number, since it is smaller than the sum of its proper divisors (559474432).

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

516957248 is a wasteful number, since it uses less digits than its factorization.

516957248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4025 counting only the distinct ones).

The product of its digits is 604800, while the sum is 47.

The square root of 516957248 is about 22736.6938669632. The cubic root of 516957248 is about 802.5736117748.

The spelling of 516957248 in words is "five hundred sixteen million, nine hundred fifty-seven thousand, two hundred forty-eight".