380352 has 56 divisors (see below), whose sum is σ = 1154176. Its totient is φ = 108288.

The previous prime is 380333. The next prime is 380363. The reversal of 380352 is 253083.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1203 + ... + 1485.

2³⁸⁰³⁵² is an apocalyptic number.

380352 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 380352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577088).

380352 is an abundant number, since it is smaller than the sum of its proper divisors (773824).

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

380352 is a wasteful number, since it uses less digits than its factorization.

380352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 380352 is about 616.7268439107. The cubic root of 380352 is about 72.4539223663.

The spelling of 380352 in words is "three hundred eighty thousand, three hundred fifty-two".