394456400 has 120 divisors (see below), whose sum is σ = 1053932544. Its totient is φ = 140889600.

The previous prime is 394456373. The next prime is 394456429. The reversal of 394456400 is 4654493.

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, 159977 + ... + 162423.

Almost surely, 2^394456400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526966272).

394456400 is an abundant number, since it is smaller than the sum of its proper divisors (659476144).

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

394456400 is a wasteful number, since it uses less digits than its factorization.

394456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 394456400 is about 19860.9264637881. The cubic root of 394456400 is about 733.3866536069.

The spelling of 394456400 in words is "three hundred ninety-four million, four hundred fifty-six thousand, four hundred".