382301532 has 60 divisors (see below), whose sum is σ = 1003796640. Its totient is φ = 126874944.

The previous prime is 382301497. The next prime is 382301537. The reversal of 382301532 is 235103283.

It is a super-2 number, since 2×382301532² = 292308922739094048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 382301496 and 382301505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382301537) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74968 + ... + 79904.

It is an arithmetic number, because the mean of its divisors is an integer number (16729944).

Almost surely, 2^382301532 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 382301532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501898320).

382301532 is an abundant number, since it is smaller than the sum of its proper divisors (621495108).

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

382301532 is a wasteful number, since it uses less digits than its factorization.

382301532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5192 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 382301532 is about 19552.5326236782. The cubic root of 382301532 is about 725.7750139536.

The spelling of 382301532 in words is "three hundred eighty-two million, three hundred one thousand, five hundred thirty-two".