397281456 has 320 divisors, whose sum is σ = 1374912000. Its totient is φ = 108241920.

The previous prime is 397281427. The next prime is 397281497. The reversal of 397281456 is 654182793.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3644730 + ... + 3644838.

It is an arithmetic number, because the mean of its divisors is an integer number (4296600).

Almost surely, 2^397281456 is an apocalyptic number.

397281456 is a gapful number since it is divisible by the number (36) 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 397281456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687456000).

397281456 is an abundant number, since it is smaller than the sum of its proper divisors (977630544).

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

397281456 is a wasteful number, since it uses less digits than its factorization.

397281456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 397281456 is about 19931.9205296429. The cubic root of 397281456 is about 735.1333036020.

The spelling of 397281456 in words is "three hundred ninety-seven million, two hundred eighty-one thousand, four hundred fifty-six".