382987520 has 54 divisors (see below), whose sum is σ = 919054962. Its totient is φ = 152914944.

The previous prime is 382987511. The next prime is 382987529. The reversal of 382987520 is 25789283.

It is an interprime number because it is at equal distance from previous prime (382987511) and next prime (382987529).

It can be written as a sum of positive squares in only one way, i.e., 306390016 + 76597504 = 17504^2 + 8752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382987529) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 699887 + ... + 700433.

Almost surely, 2^382987520 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 382987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459527481).

382987520 is an abundant number, since it is smaller than the sum of its proper divisors (536067442).

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

382987520 is an frugal number, since it uses more digits than its factorization.

382987520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 382987520 is about 19570.0669390782. The cubic root of 382987520 is about 726.2088560187.

The spelling of 382987520 in words is "three hundred eighty-two million, nine hundred eighty-seven thousand, five hundred twenty".