397129320 has 288 divisors, whose sum is σ = 1536537600. Its totient is φ = 88655616.

The previous prime is 397129309. The next prime is 397129361. The reversal of 397129320 is 23921793.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 828841 + ... + 829319.

It is an arithmetic number, because the mean of its divisors is an integer number (5335200).

Almost surely, 2^397129320 is an apocalyptic number.

397129320 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 397129320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768268800).

397129320 is an abundant number, since it is smaller than the sum of its proper divisors (1139408280).

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

397129320 is a wasteful number, since it uses less digits than its factorization.

397129320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 397129320 is about 19928.1037733147. The cubic root of 397129320 is about 735.0394536645.

The spelling of 397129320 in words is "three hundred ninety-seven million, one hundred twenty-nine thousand, three hundred twenty".