397244400 has 360 divisors, whose sum is σ = 1546579584. Its totient is φ = 85363200.

The previous prime is 397244387. The next prime is 397244459. The reversal of 397244400 is 4442793.

It is a super-2 number, since 2×397244400² = 315606226662720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3032335 + ... + 3032465.

Almost surely, 2^397244400 is an apocalyptic number.

397244400 is a gapful number since it is divisible by the number (30) 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 397244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773289792).

397244400 is an abundant number, since it is smaller than the sum of its proper divisors (1149335184).

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

397244400 is a wasteful number, since it uses less digits than its factorization.

397244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 397244400 is about 19930.9909437539. The cubic root of 397244400 is about 735.1104466355.

The spelling of 397244400 in words is "three hundred ninety-seven million, two hundred forty-four thousand, four hundred".