382278400 has 324 divisors, whose sum is σ = 1170206352. Its totient is φ = 123002880.

The previous prime is 382278389. The next prime is 382278437. The reversal of 382278400 is 4872283.

It is a super-2 number, since 2×382278400² = 292273550213120000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7212774 + ... + 7212826.

It is an arithmetic number, because the mean of its divisors is an integer number (3611748).

Almost surely, 2^382278400 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 382278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585103176).

382278400 is an abundant number, since it is smaller than the sum of its proper divisors (787927952).

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

382278400 is a wasteful number, since it uses less digits than its factorization.

382278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 382278400 is about 19551.9410801076. The cubic root of 382278400 is about 725.7603754507.

The spelling of 382278400 in words is "three hundred eighty-two million, two hundred seventy-eight thousand, four hundred".