1397264256 has 320 divisors, whose sum is σ = 4509766800. Its totient is φ = 427991040.

The previous prime is 1397264249. The next prime is 1397264291. The reversal of 1397264256 is 6524627931.

1397264256 is a `hidden beast` number, since 1 + 397 + 2 + 6 + 4 + 256 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8076586 + ... + 8076758.

Almost surely, 2^1397264256 is an apocalyptic number.

1397264256 is a gapful number since it is divisible by the number (16) 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 1397264256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254883400).

1397264256 is an abundant number, since it is smaller than the sum of its proper divisors (3112502544).

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

1397264256 is a wasteful number, since it uses less digits than its factorization.

1397264256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 238 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 1397264256 is about 37379.9980738362. The cubic root of 1397264256 is about 1117.9597891757.

The spelling of 1397264256 in words is "one billion, three hundred ninety-seven million, two hundred sixty-four thousand, two hundred fifty-six".