394431600 has 240 divisors, whose sum is σ = 1363912704. Its totient is φ = 97152000.

The previous prime is 394431559. The next prime is 394431649. The reversal of 394431600 is 6134493.

It is a tau number, because it is divible by the number of its divisors (240).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855370 + ... + 855830.

Almost surely, 2^394431600 is an apocalyptic number.

394431600 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 394431600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681956352).

394431600 is an abundant number, since it is smaller than the sum of its proper divisors (969481104).

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

394431600 is a wasteful number, since it uses less digits than its factorization.

394431600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 394431600 is about 19860.3021125057. The cubic root of 394431600 is about 733.3712836191.

The spelling of 394431600 in words is "three hundred ninety-four million, four hundred thirty-one thousand, six hundred".