397072032 has 192 divisors, whose sum is σ = 1268628480. Its totient is φ = 106223616.

The previous prime is 397072007. The next prime is 397072061. The reversal of 397072032 is 230270793.

It is a junction number, because it is equal to n+sod(n) for n = 397071984 and 397072002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1749103 + ... + 1749329.

It is an arithmetic number, because the mean of its divisors is an integer number (6607440).

Almost surely, 2^397072032 is an apocalyptic number.

397072032 is a gapful number since it is divisible by the number (32) 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 397072032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634314240).

397072032 is an abundant number, since it is smaller than the sum of its proper divisors (871556448).

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

397072032 is a wasteful number, since it uses less digits than its factorization.

397072032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 33.

The square root of 397072032 is about 19926.6663544106. Note that the first 3 decimals coincide. The cubic root of 397072032 is about 735.0041075248.

The spelling of 397072032 in words is "three hundred ninety-seven million, seventy-two thousand, thirty-two".