394410816 has 224 divisors, whose sum is σ = 1254556800. Its totient is φ = 121098240.

The previous prime is 394410781. The next prime is 394410839. The reversal of 394410816 is 618014493.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1345966 + ... + 1346258.

It is an arithmetic number, because the mean of its divisors is an integer number (5600700).

Almost surely, 2^394410816 is an apocalyptic number.

394410816 is a gapful number since it is divisible by the number (36) 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 394410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627278400).

394410816 is an abundant number, since it is smaller than the sum of its proper divisors (860145984).

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

394410816 is a wasteful number, since it uses less digits than its factorization.

394410816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 394410816 is about 19859.7788507325. The cubic root of 394410816 is about 733.3584020815.

The spelling of 394410816 in words is "three hundred ninety-four million, four hundred ten thousand, eight hundred sixteen".