382767400 has 48 divisors (see below), whose sum is σ = 893960640. Its totient is φ = 152414400.

The previous prime is 382767391. The next prime is 382767401. The reversal of 382767400 is 4767283.

382767400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 382767400.

It is not an unprimeable number, because it can be changed into a prime (382767401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 41185 + ... + 49615.

It is an arithmetic number, because the mean of its divisors is an integer number (18624180).

Almost surely, 2^382767400 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 382767400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446980320).

382767400 is an abundant number, since it is smaller than the sum of its proper divisors (511193240).

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

382767400 is a wasteful number, since it uses less digits than its factorization.

382767400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8674 (or 8665 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 382767400 is about 19564.4422358523. The cubic root of 382767400 is about 726.0697011553.

The spelling of 382767400 in words is "three hundred eighty-two million, seven hundred sixty-seven thousand, four hundred".