394024400 has 180 divisors, whose sum is σ = 1190194656. Its totient is φ = 122707200.

The previous prime is 394024381. The next prime is 394024403. The reversal of 394024400 is 4420493.

394024400 = 80³ + 81³ + ... + 200³.

It is a self number, because there is not a number n which added to its sum of digits gives 394024400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394024403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 338219 + ... + 339381.

Almost surely, 2^394024400 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 394024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595097328).

394024400 is an abundant number, since it is smaller than the sum of its proper divisors (796170256).

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

394024400 is a wasteful number, since it uses less digits than its factorization.

394024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 394024400 is about 19850.0478588844. The cubic root of 394024400 is about 733.1188261496.

Adding to 394024400 its reverse (4420493), we get a palindrome (398444893).

The spelling of 394024400 in words is "three hundred ninety-four million, twenty-four thousand, four hundred".