394968448 has 128 divisors (see below), whose sum is σ = 937681920. Its totient is φ = 162226176.

The previous prime is 394968439. The next prime is 394968467. The reversal of 394968448 is 844869493.

It is a happy number.

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

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, 3495240 + ... + 3495352.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2^394968448 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 394968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468840960).

394968448 is an abundant number, since it is smaller than the sum of its proper divisors (542713472).

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

394968448 is a wasteful number, since it uses less digits than its factorization.

394968448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 55.

The square root of 394968448 is about 19873.8131217942. The cubic root of 394968448 is about 733.7038553674.

The spelling of 394968448 in words is "three hundred ninety-four million, nine hundred sixty-eight thousand, four hundred forty-eight".