382464000 has 312 divisors, whose sum is σ = 1395353232. Its totient is φ = 100761600.

The previous prime is 382463993. The next prime is 382464001. The reversal of 382464000 is 464283.

It is a super-2 number, since 2×382464000² = 292557422592000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382464001) 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, 4607959 + ... + 4608041.

It is an arithmetic number, because the mean of its divisors is an integer number (4472286).

Almost surely, 2^382464000 is an apocalyptic number.

382464000 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 382464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697676616).

382464000 is an abundant number, since it is smaller than the sum of its proper divisors (1012889232).

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

382464000 is an equidigital number, since it uses as much as digits as its factorization.

382464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 93 counting only the distinct ones).

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

The square root of 382464000 is about 19556.6868359648. The cubic root of 382464000 is about 725.8778110962.

The spelling of 382464000 in words is "three hundred eighty-two million, four hundred sixty-four thousand".