1429712256 has 128 divisors (see below), whose sum is σ = 4360181760. Its totient is φ = 406609920.

The previous prime is 1429712239. The next prime is 1429712311. The reversal of 1429712256 is 6522179241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646705 + ... + 648911.

It is an arithmetic number, because the mean of its divisors is an integer number (34063920).

Almost surely, 2^1429712256 is an apocalyptic number.

1429712256 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 1429712256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180090880).

1429712256 is an abundant number, since it is smaller than the sum of its proper divisors (2930469504).

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

1429712256 is a wasteful number, since it uses less digits than its factorization.

1429712256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2460 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 1429712256 is about 37811.5360174643. The cubic root of 1429712256 is about 1126.5476000516.

The spelling of 1429712256 in words is "one billion, four hundred twenty-nine million, seven hundred twelve thousand, two hundred fifty-six".