1714256000 has 128 divisors (see below), whose sum is σ = 4487184000. Its totient is φ = 649497600.

The previous prime is 1714255969. The next prime is 1714256059. The reversal of 1714256000 is 6524171.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 301181 + ... + 306819.

It is an arithmetic number, because the mean of its divisors is an integer number (35056125).

Almost surely, 2^1714256000 is an apocalyptic number.

1714256000 is a gapful number since it is divisible by the number (10) 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 1714256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243592000).

1714256000 is an abundant number, since it is smaller than the sum of its proper divisors (2772928000).

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

1714256000 is an equidigital number, since it uses as much as digits as its factorization.

1714256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 1714256000 is about 41403.5747248954. The cubic root of 1714256000 is about 1196.8100461948.

The spelling of 1714256000 in words is "one billion, seven hundred fourteen million, two hundred fifty-six thousand".