382352400 has 150 divisors (see below), whose sum is σ = 1372348362. Its totient is φ = 101952000.

The previous prime is 382352393. The next prime is 382352407. The reversal of 382352400 is 4253283.

It is an interprime number because it is at equal distance from previous prime (382352393) and next prime (382352407).

It can be written as a sum of positive squares in 3 ways, for example, as 26501904 + 355850496 = 5148^2 + 18864^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (382352407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 26500 + ... + 38300.

Almost surely, 2^382352400 is an apocalyptic number.

382352400 is a gapful number since it is divisible by the number (30) 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 382352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686174181).

382352400 is an abundant number, since it is smaller than the sum of its proper divisors (989995962).

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

382352400 is a wasteful number, since it uses less digits than its factorization.

382352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11831 (or 11811 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 382352400 is about 19553.8333837639. The cubic root of 382352400 is about 725.8072024078.

The spelling of 382352400 in words is "three hundred eighty-two million, three hundred fifty-two thousand, four hundred".