394218000 has 360 divisors, whose sum is σ = 1521782808. Its totient is φ = 95040000.

The previous prime is 394217983. The next prime is 394218053. The reversal of 394218000 is 812493.

It can be written as a sum of positive squares in 4 ways, for example, as 108743184 + 285474816 = 10428^2 + 16896^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2177910 + ... + 2178090.

Almost surely, 2^394218000 is an apocalyptic number.

394218000 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 394218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760891404).

394218000 is an abundant number, since it is smaller than the sum of its proper divisors (1127564808).

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

394218000 is a wasteful number, since it uses less digits than its factorization.

394218000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 394218000 is about 19854.9238225685. The cubic root of 394218000 is about 733.2388767230.

The spelling of 394218000 in words is "three hundred ninety-four million, two hundred eighteen thousand".