394615046606400 has 189 divisors, whose sum is σ = 1402563521241363. Its totient is φ = 105230043417600.

The previous prime is 394615046606381. The next prime is 394615046606413. The reversal of 394615046606400 is 4606640516493.

The square root of 394615046606400 is 19864920.

It is a perfect power (a square), and thus also a powerful number.

394615046606400 is a `hidden beast` number, since 3 + 9 + 46 + 150 + 46 + 6 + 0 + 6 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 155976319946304 + 238638726660096 = 12489048^2 + 15447936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2383707630 + ... + 2383873170.

Almost surely, 2^{394615046606400} is an apocalyptic number.

394615046606400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

394615046606400 is the 19864920-th square number.

It is an amenable number.

394615046606400 is an abundant number, since it is smaller than the sum of its proper divisors (1007948474634963).

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

394615046606400 is an frugal number, since it uses more digits than its factorization.

394615046606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331110 (or 165551 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 394615046606400 in words is "three hundred ninety-four trillion, six hundred fifteen billion, forty-six million, six hundred six thousand, four hundred".