382007024 has 80 divisors (see below), whose sum is σ = 880152000. Its totient is φ = 157151232.

The previous prime is 382007011. The next prime is 382007033. The reversal of 382007024 is 420700283.

It is a Cunningham number, because it is equal to 19545²-1.

It is a junction number, because it is equal to n+sod(n) for n = 382006984 and 382007002.

It is a congruent number.

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, 1094402 + ... + 1094750.

It is an arithmetic number, because the mean of its divisors is an integer number (11001900).

Almost surely, 2^382007024 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 382007024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440076000).

382007024 is an abundant number, since it is smaller than the sum of its proper divisors (498144976).

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

382007024 is a wasteful number, since it uses less digits than its factorization.

382007024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 382007024 is about 19544.9999744180. Note that the first 4 decimals coincide. The cubic root of 382007024 is about 725.5885978742.

The spelling of 382007024 in words is "three hundred eighty-two million, seven thousand, twenty-four".