1429068960 has 768 divisors, whose sum is σ = 6074611200. Its totient is φ = 309657600.

The previous prime is 1429068941. The next prime is 1429068961. The reversal of 1429068960 is 698609241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429068961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23427330 + ... + 23427390.

It is an arithmetic number, because the mean of its divisors is an integer number (7909650).

Almost surely, 2^1429068960 is an apocalyptic number.

1429068960 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 1429068960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037305600).

1429068960 is an abundant number, since it is smaller than the sum of its proper divisors (4645542240).

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

1429068960 is a wasteful number, since it uses less digits than its factorization.

1429068960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1429068960 is about 37803.0284501123. The cubic root of 1429068960 is about 1126.3786121353.

The spelling of 1429068960 in words is "one billion, four hundred twenty-nine million, sixty-eight thousand, nine hundred sixty".