382251520 has 160 divisors (see below), whose sum is σ = 1064181888. Its totient is φ = 128974848.

The previous prime is 382251503. The next prime is 382251521. The reversal of 382251520 is 25152283.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×382251520² = 292232449084620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (382251521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1487232 + ... + 1487488.

Almost surely, 2^382251520 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 382251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532090944).

382251520 is an abundant number, since it is smaller than the sum of its proper divisors (681930368).

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

382251520 is an equidigital number, since it uses as much as digits as its factorization.

382251520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 382251520 is about 19551.2536682434. The cubic root of 382251520 is about 725.7433643787.

The spelling of 382251520 in words is "three hundred eighty-two million, two hundred fifty-one thousand, five hundred twenty".