381225952 has 48 divisors (see below), whose sum is σ = 799025472. Its totient is φ = 178421760.

The previous prime is 381225947. The next prime is 381225973. The reversal of 381225952 is 259522183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103177 + ... + 106807.

It is an arithmetic number, because the mean of its divisors is an integer number (16646364).

Almost surely, 2^381225952 is an apocalyptic number.

381225952 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 381225952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399512736).

381225952 is an abundant number, since it is smaller than the sum of its proper divisors (417799520).

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

381225952 is a wasteful number, since it uses less digits than its factorization.

381225952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851 (or 3843 counting only the distinct ones).

The product of its digits is 43200, while the sum is 37.

The square root of 381225952 is about 19525.0083738778. The cubic root of 381225952 is about 725.0937346899.

The spelling of 381225952 in words is "three hundred eighty-one million, two hundred twenty-five thousand, nine hundred fifty-two".