397059264 has 336 divisors, whose sum is σ = 1407444480. Its totient is φ = 104509440.

The previous prime is 397059263. The next prime is 397059269. The reversal of 397059264 is 462950793.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (397059263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5439132 + ... + 5439204.

Almost surely, 2^397059264 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 397059264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703722240).

397059264 is an abundant number, since it is smaller than the sum of its proper divisors (1010385216).

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

397059264 is a wasteful number, since it uses less digits than its factorization.

397059264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 397059264 is about 19926.3459771229. The cubic root of 397059264 is about 734.9962293295.

The spelling of 397059264 in words is "three hundred ninety-seven million, fifty-nine thousand, two hundred sixty-four".