397290432 has 252 divisors, whose sum is σ = 1347901800. Its totient is φ = 102896640.

The previous prime is 397290427. The next prime is 397290433. The reversal of 397290432 is 234092793.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397290433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1138194 + ... + 1138542.

Almost surely, 2^397290432 is an apocalyptic number.

397290432 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 397290432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673950900).

397290432 is an abundant number, since it is smaller than the sum of its proper divisors (950611368).

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

397290432 is a wasteful number, since it uses less digits than its factorization.

397290432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 397290432 is about 19932.1456948318. The cubic root of 397290432 is about 735.1388399849.

It can be divided in two parts, 39 and 7290432, that added together give a triangular number (7290471 = T₃₈₁₈).

The spelling of 397290432 in words is "three hundred ninety-seven million, two hundred ninety thousand, four hundred thirty-two".