397334448 has 240 divisors, whose sum is σ = 1327772160. Its totient is φ = 108573696.

The previous prime is 397334447. The next prime is 397334449. The reversal of 397334448 is 844433793.

It is an interprime number because it is at equal distance from previous prime (397334447) and next prime (397334449).

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

Its product of digits (870912) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (397334447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3857565 + ... + 3857667.

It is an arithmetic number, because the mean of its divisors is an integer number (5532384).

Almost surely, 2^397334448 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 397334448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663886080).

397334448 is an abundant number, since it is smaller than the sum of its proper divisors (930437712).

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

397334448 is a wasteful number, since it uses less digits than its factorization.

397334448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 397334448 is about 19933.2498103044. The cubic root of 397334448 is about 735.1659877788.

The spelling of 397334448 in words is "three hundred ninety-seven million, three hundred thirty-four thousand, four hundred forty-eight".