394153344 has 256 divisors, whose sum is σ = 1297766400. Its totient is φ = 116951040.

The previous prime is 394153307. The next prime is 394153349. The reversal of 394153344 is 443351493.

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 = 394153299 and 394153308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394153349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1392627 + ... + 1392909.

It is an arithmetic number, because the mean of its divisors is an integer number (5069400).

Almost surely, 2^394153344 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 394153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648883200).

394153344 is an abundant number, since it is smaller than the sum of its proper divisors (903613056).

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

394153344 is a wasteful number, since it uses less digits than its factorization.

394153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 332 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 394153344 is about 19853.2955450726. The cubic root of 394153344 is about 733.1987881722.

The spelling of 394153344 in words is "three hundred ninety-four million, one hundred fifty-three thousand, three hundred forty-four".