394113600 has 210 divisors, whose sum is σ = 1449138834. Its totient is φ = 105062400.

The previous prime is 394113581. The next prime is 394113611. The reversal of 394113600 is 6311493.

394113600 is a `hidden beast` number, since 3 + 9 + 41 + 13 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 115089984 + 279023616 = 10728^2 + 16704^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 128080 + ... + 131120.

Almost surely, 2^394113600 is an apocalyptic number.

394113600 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 394113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724569417).

394113600 is an abundant number, since it is smaller than the sum of its proper divisors (1055025234).

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

394113600 is a wasteful number, since it uses less digits than its factorization.

394113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 394113600 is about 19852.2945777056. The cubic root of 394113600 is about 733.1741435912.

The spelling of 394113600 in words is "three hundred ninety-four million, one hundred thirteen thousand, six hundred".