382516512 has 96 divisors (see below), whose sum is σ = 1207987200. Its totient is φ = 103534848.

The previous prime is 382516457. The next prime is 382516523. The reversal of 382516512 is 215615283.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×382516512² = 292637763905292288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2212 + ... + 27747.

It is an arithmetic number, because the mean of its divisors is an integer number (12583200).

Almost surely, 2^382516512 is an apocalyptic number.

382516512 is a gapful number since it is divisible by the number (32) 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 382516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603993600).

382516512 is an abundant number, since it is smaller than the sum of its proper divisors (825470688).

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

382516512 is a wasteful number, since it uses less digits than its factorization.

382516512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29998 (or 29990 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 382516512 is about 19558.0293485821. The cubic root of 382516512 is about 725.9110303894.

The spelling of 382516512 in words is "three hundred eighty-two million, five hundred sixteen thousand, five hundred twelve".