382412800 has 288 divisors, whose sum is σ = 1194298560. Its totient is φ = 117964800.

The previous prime is 382412777. The next prime is 382412801. The reversal of 382412800 is 8214283.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382412801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3942352 + ... + 3942448.

It is an arithmetic number, because the mean of its divisors is an integer number (4146870).

Almost surely, 2^382412800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597149280).

382412800 is an abundant number, since it is smaller than the sum of its proper divisors (811885760).

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

382412800 is a wasteful number, since it uses less digits than its factorization.

382412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 382412800 is about 19555.3777769697. The cubic root of 382412800 is about 725.8454188515.

It can be divided in two parts, 38241 and 2800, that added together give a triangular number (41041 = T₂₈₆).

The spelling of 382412800 in words is "three hundred eighty-two million, four hundred twelve thousand, eight hundred".