1714309920 has 480 divisors, whose sum is σ = 6638962176. Its totient is φ = 414720000.

The previous prime is 1714309873. The next prime is 1714309921. The reversal of 1714309920 is 299034171.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1714309921) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 6829795 + ... + 6830045.

Almost surely, 2^1714309920 is an apocalyptic number.

1714309920 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 1714309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319481088).

1714309920 is an abundant number, since it is smaller than the sum of its proper divisors (4924652256).

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

1714309920 is a wasteful number, since it uses less digits than its factorization.

1714309920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1714309920 is about 41404.2258712803. The cubic root of 1714309920 is about 1196.8225941691.

The spelling of 1714309920 in words is "one billion, seven hundred fourteen million, three hundred nine thousand, nine hundred twenty".