397082400 has 432 divisors, whose sum is σ = 1543963680. Its totient is φ = 87859200.

The previous prime is 397082393. The next prime is 397082429. The reversal of 397082400 is 4280793.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 71 ways as a sum of consecutive naturals, for example, 4461556 + ... + 4461644.

It is an arithmetic number, because the mean of its divisors is an integer number (3573990).

Almost surely, 2^397082400 is an apocalyptic number.

397082400 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 397082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771981840).

397082400 is an abundant number, since it is smaller than the sum of its proper divisors (1146881280).

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

397082400 is a wasteful number, since it uses less digits than its factorization.

397082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 397082400 is about 19926.9265066141. The cubic root of 397082400 is about 735.0105047321.

The spelling of 397082400 in words is "three hundred ninety-seven million, eighty-two thousand, four hundred".