394429824 has 128 divisors (see below), whose sum is σ = 1179324000. Its totient is φ = 131383296.

The previous prime is 394429807. The next prime is 394429831. The reversal of 394429824 is 428924493.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 394429824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279232 + ... + 280640.

Almost surely, 2^394429824 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 394429824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589662000).

394429824 is an abundant number, since it is smaller than the sum of its proper divisors (784894176).

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

394429824 is an frugal number, since it uses more digits than its factorization.

394429824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1414 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 394429824 is about 19860.2574001446. The cubic root of 394429824 is about 733.3701829050.

The spelling of 394429824 in words is "three hundred ninety-four million, four hundred twenty-nine thousand, eight hundred twenty-four".