382205952 has 140 divisors (see below), whose sum is σ = 1146092475. Its totient is φ = 127401984.

The previous prime is 382205947. The next prime is 382205963. The reversal of 382205952 is 259502283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)⁶ ⋅ 2!.

It can be written as a sum of positive squares in only one way, i.e., 191102976 + 191102976 = 13824^2 + 13824^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=13824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 127401983 + 127401984 + 127401985.

Almost surely, 2^382205952 is an apocalyptic number.

382205952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382205952

382205952 is an abundant number, since it is smaller than the sum of its proper divisors (763886523).

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

382205952 is an frugal number, since it uses more digits than its factorization.

382205952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 382205952 is about 19550.0882862457. The cubic root of 382205952 is about 725.7145247394.

The spelling of 382205952 in words is "three hundred eighty-two million, two hundred five thousand, nine hundred fifty-two".