397964100 has 144 divisors (see below), whose sum is σ = 1203048000. Its totient is φ = 101445120.

The previous prime is 397964093. The next prime is 397964117. The reversal of 397964100 is 1469793.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1296147 + ... + 1296453.

It is an arithmetic number, because the mean of its divisors is an integer number (8354500).

Almost surely, 2^397964100 is an apocalyptic number.

397964100 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 397964100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601524000).

397964100 is an abundant number, since it is smaller than the sum of its proper divisors (805083900).

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

397964100 is a wasteful number, since it uses less digits than its factorization.

397964100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 397964100 is about 19949.0375707702. The cubic root of 397964100 is about 735.5541196032.

The spelling of 397964100 in words is "three hundred ninety-seven million, nine hundred sixty-four thousand, one hundred".