397983456 has 288 divisors, whose sum is σ = 1315012608. Its totient is φ = 117573120.

The previous prime is 397983449. The next prime is 397983461. The reversal of 397983456 is 654389793.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3133665 + ... + 3133791.

It is an arithmetic number, because the mean of its divisors is an integer number (4566016).

Almost surely, 2^397983456 is an apocalyptic number.

397983456 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 397983456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657506304).

397983456 is an abundant number, since it is smaller than the sum of its proper divisors (917029152).

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

397983456 is a wasteful number, since it uses less digits than its factorization.

397983456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 397983456 is about 19949.5227010573. The cubic root of 397983456 is about 735.5660445940.

The spelling of 397983456 in words is "three hundred ninety-seven million, nine hundred eighty-three thousand, four hundred fifty-six".