394368000 has 352 divisors, whose sum is σ = 1430607360. Its totient is φ = 95846400.

The previous prime is 394367983. The next prime is 394368001. The reversal of 394368000 is 863493.

It is a super-2 number, since 2×394368000² = 311052238848000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394368001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4991961 + ... + 4992039.

Almost surely, 2^394368000 is an apocalyptic number.

394368000 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 394368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715303680).

394368000 is an abundant number, since it is smaller than the sum of its proper divisors (1036239360).

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

394368000 is a wasteful number, since it uses less digits than its factorization.

394368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 394368000 is about 19858.7008638531. The cubic root of 394368000 is about 733.3318640926.

The spelling of 394368000 in words is "three hundred ninety-four million, three hundred sixty-eight thousand".