397216764 has 192 divisors, whose sum is σ = 1287659520. Its totient is φ = 103265280.

The previous prime is 397216753. The next prime is 397216777. The reversal of 397216764 is 467612793.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 397914 + ... + 398910.

It is an arithmetic number, because the mean of its divisors is an integer number (6706560).

Almost surely, 2^397216764 is an apocalyptic number.

397216764 is a gapful number since it is divisible by the number (34) 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 397216764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643829760).

397216764 is an abundant number, since it is smaller than the sum of its proper divisors (890442756).

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

397216764 is a wasteful number, since it uses less digits than its factorization.

397216764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1057 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 397216764 is about 19930.2976395236. The cubic root of 397216764 is about 735.0933992096.

It can be divided in two parts, 3972 and 16764, that added together give a 4-th power (20736 = 12⁴).

The spelling of 397216764 in words is "three hundred ninety-seven million, two hundred sixteen thousand, seven hundred sixty-four".