397272800 has 72 divisors (see below), whose sum is σ = 976328136. Its totient is φ = 157847040.

The previous prime is 397272797. The next prime is 397272803. The reversal of 397272800 is 8272793.

It is an interprime number because it is at equal distance from previous prime (397272797) and next prime (397272803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397272803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 124019 + ... + 127181.

It is an arithmetic number, because the mean of its divisors is an integer number (13560113).

Almost surely, 2^397272800 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 397272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488164068).

397272800 is an abundant number, since it is smaller than the sum of its proper divisors (579055336).

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

397272800 is a wasteful number, since it uses less digits than its factorization.

397272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 397272800 is about 19931.7033893243. The cubic root of 397272800 is about 735.1279645155.

The spelling of 397272800 in words is "three hundred ninety-seven million, two hundred seventy-two thousand, eight hundred".