382262972 has 48 divisors (see below), whose sum is σ = 828703680. Its totient is φ = 150239232.

The previous prime is 382262971. The next prime is 382262989. The reversal of 382262972 is 279262283.

It is a super-2 number, since 2×382262972² = 292249959524545568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382262971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53804 + ... + 60492.

It is an arithmetic number, because the mean of its divisors is an integer number (17264660).

Almost surely, 2^382262972 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 382262972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414351840).

382262972 is an abundant number, since it is smaller than the sum of its proper divisors (446440708).

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

382262972 is a wasteful number, since it uses less digits than its factorization.

382262972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6870 (or 6868 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 382262972 is about 19551.5465372947. The cubic root of 382262972 is about 725.7506119017.

The spelling of 382262972 in words is "three hundred eighty-two million, two hundred sixty-two thousand, nine hundred seventy-two".