382784400 has 360 divisors, whose sum is σ = 1445497760. Its totient is φ = 96180480.

The previous prime is 382784399. The next prime is 382784417. The reversal of 382784400 is 4487283.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5713167 + ... + 5713233.

Almost surely, 2^382784400 is an apocalyptic number.

382784400 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 382784400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722748880).

382784400 is an abundant number, since it is smaller than the sum of its proper divisors (1062713360).

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

382784400 is a wasteful number, since it uses less digits than its factorization.

382784400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 382784400 is about 19564.8766926858. The cubic root of 382784400 is about 726.0804500698.

The spelling of 382784400 in words is "three hundred eighty-two million, seven hundred eighty-four thousand, four hundred".