394477600 has 144 divisors (see below), whose sum is σ = 1096804800. Its totient is φ = 137139200.

The previous prime is 394477597. The next prime is 394477607. The reversal of 394477600 is 6774493.

It is a super-2 number, since 2×394477600² = 311225153803520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (394477607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201426 + ... + 203374.

It is an arithmetic number, because the mean of its divisors is an integer number (7616700).

Almost surely, 2^394477600 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 394477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548402400).

394477600 is an abundant number, since it is smaller than the sum of its proper divisors (702327200).

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

394477600 is a wasteful number, since it uses less digits than its factorization.

394477600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 394477600 is about 19861.4601678729. The cubic root of 394477600 is about 733.3997919568.

The spelling of 394477600 in words is "three hundred ninety-four million, four hundred seventy-seven thousand, six hundred".