394729600 has 96 divisors (see below), whose sum is σ = 980757540. Its totient is φ = 156979200.

The previous prime is 394729567. The next prime is 394729609. The reversal of 394729600 is 6927493.

It can be written as a sum of positive squares in 6 ways, for example, as 111682624 + 283046976 = 10568^2 + 16824^2 .

It is a super-2 number, since 2×394729600² = 311622914232320000, 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 (394729609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 937390 + ... + 937810.

Almost surely, 2^394729600 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 394729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490378770).

394729600 is an abundant number, since it is smaller than the sum of its proper divisors (586027940).

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

394729600 is a wasteful number, since it uses less digits than its factorization.

394729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 394729600 is about 19867.8030994874. The cubic root of 394729600 is about 733.5559287536. Note that the first 3 decimals are identical.

The spelling of 394729600 in words is "three hundred ninety-four million, seven hundred twenty-nine thousand, six hundred".