397129020288 has 512 divisors, whose sum is σ = 1439637857280. Its totient is φ = 93649305600.

The previous prime is 397129020287. The next prime is 397129020311. The reversal of 397129020288 is 882020921793.

It is a super-2 number, since 2×397129020288² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 397129020288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397129020287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23438956 + ... + 23455892.

It is an arithmetic number, because the mean of its divisors is an integer number (2811792690).

Almost surely, 2^397129020288 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 397129020288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719818928640).

397129020288 is an abundant number, since it is smaller than the sum of its proper divisors (1042508836992).

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

397129020288 is a wasteful number, since it uses less digits than its factorization.

397129020288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17046 (or 17034 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 397129020288 in words is "three hundred ninety-seven billion, one hundred twenty-nine million, twenty thousand, two hundred eighty-eight".