1429793920 has 64 divisors (see below), whose sum is σ = 3450211200. Its totient is φ = 566545408.

The previous prime is 1429793917. The next prime is 1429793921. The reversal of 1429793920 is 293979241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1429793921) 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 7 ways as a sum of consecutive naturals, for example, 58041 + ... + 78919.

It is an arithmetic number, because the mean of its divisors is an integer number (53909550).

Almost surely, 2^1429793920 is an apocalyptic number.

1429793920 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 1429793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725105600).

1429793920 is an abundant number, since it is smaller than the sum of its proper divisors (2020417280).

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

1429793920 is a wasteful number, since it uses less digits than its factorization.

1429793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21005 (or 20993 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The square root of 1429793920 is about 37812.6158841199. The cubic root of 1429793920 is about 1126.5690488038.

The spelling of 1429793920 in words is "one billion, four hundred twenty-nine million, seven hundred ninety-three thousand, nine hundred twenty".