1296556464 has 160 divisors (see below), whose sum is σ = 3973158400. Its totient is φ = 364089600.

The previous prime is 1296556451. The next prime is 1296556487. The reversal of 1296556464 is 4646556921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003659 + ... + 1004949.

It is an arithmetic number, because the mean of its divisors is an integer number (24832240).

Almost surely, 2^1296556464 is an apocalyptic number.

1296556464 is a gapful number since it is divisible by the number (14) 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 1296556464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986579200).

1296556464 is an abundant number, since it is smaller than the sum of its proper divisors (2676601936).

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

1296556464 is a wasteful number, since it uses less digits than its factorization.

1296556464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1364 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The square root of 1296556464 is about 36007.7278372296. The cubic root of 1296556464 is about 1090.4283769195.

The spelling of 1296556464 in words is "one billion, two hundred ninety-six million, five hundred fifty-six thousand, four hundred sixty-four".