382406400 has 216 divisors, whose sum is σ = 1402878960. Its totient is φ = 101928960.

The previous prime is 382406333. The next prime is 382406447. The reversal of 382406400 is 4604283.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171694 + ... + 173906.

It is an arithmetic number, because the mean of its divisors is an integer number (6494810).

Almost surely, 2^382406400 is an apocalyptic number.

382406400 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 382406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701439480).

382406400 is an abundant number, since it is smaller than the sum of its proper divisors (1020472560).

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

382406400 is a wasteful number, since it uses less digits than its factorization.

382406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 382406400 is about 19555.2141384338. The cubic root of 382406400 is about 725.8413696176.

The spelling of 382406400 in words is "three hundred eighty-two million, four hundred six thousand, four hundred".