394060800 has 264 divisors, whose sum is σ = 1490478016. Its totient is φ = 89948160.

The previous prime is 394060781. The next prime is 394060801. The reversal of 394060800 is 8060493.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (394060801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537234 + ... + 537966.

Almost surely, 2^394060800 is an apocalyptic number.

394060800 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 394060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745239008).

394060800 is an abundant number, since it is smaller than the sum of its proper divisors (1096417216).

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

394060800 is a wasteful number, since it uses less digits than its factorization.

394060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 394060800 is about 19850.9647120738. The cubic root of 394060800 is about 733.1414006429.

The spelling of 394060800 in words is "three hundred ninety-four million, sixty thousand, eight hundred".