394813440 has 560 divisors, whose sum is σ = 1712744352. Its totient is φ = 84934656.

The previous prime is 394813439. The next prime is 394813493. The reversal of 394813440 is 44318493.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 394813395 and 394813404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23224312 + ... + 23224328.

Almost surely, 2^394813440 is an apocalyptic number.

394813440 is a gapful number since it is divisible by the number (30) 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 394813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856372176).

394813440 is an abundant number, since it is smaller than the sum of its proper divisors (1317930912).

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

394813440 is an equidigital number, since it uses as much as digits as its factorization.

394813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 394813440 is about 19869.9129338807. The cubic root of 394813440 is about 733.6078604856.

The spelling of 394813440 in words is "three hundred ninety-four million, eight hundred thirteen thousand, four hundred forty".