397829600 has 144 divisors (see below), whose sum is σ = 1168675200. Its totient is φ = 129185280.

The previous prime is 397829591. The next prime is 397829623. The reversal of 397829600 is 6928793.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104531 + ... + 108269.

It is an arithmetic number, because the mean of its divisors is an integer number (8115800).

Almost surely, 2^397829600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397829600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584337600).

397829600 is an abundant number, since it is smaller than the sum of its proper divisors (770845600).

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

397829600 is a wasteful number, since it uses less digits than its factorization.

397829600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 397829600 is about 19945.6661959434. Note that the first 3 decimals coincide. The cubic root of 397829600 is about 735.4712451458.

The spelling of 397829600 in words is "three hundred ninety-seven million, eight hundred twenty-nine thousand, six hundred".