1272964256 has 48 divisors (see below), whose sum is σ = 2620211328. Its totient is φ = 607622400.

The previous prime is 1272964249. The next prime is 1272964283. The reversal of 1272964256 is 6524692721.

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 7 ways as a sum of consecutive naturals, for example, 463046 + ... + 465786.

It is an arithmetic number, because the mean of its divisors is an integer number (54587736).

Almost surely, 2^1272964256 is an apocalyptic number.

1272964256 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 1272964256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310105664).

1272964256 is an abundant number, since it is smaller than the sum of its proper divisors (1347247072).

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

1272964256 is a wasteful number, since it uses less digits than its factorization.

1272964256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3397 counting only the distinct ones).

The product of its digits is 362880, while the sum is 44.

The square root of 1272964256 is about 35678.6246371690. The cubic root of 1272964256 is about 1083.7740209667.

The spelling of 1272964256 in words is "one billion, two hundred seventy-two million, nine hundred sixty-four thousand, two hundred fifty-six".