1429282960 has 120 divisors (see below), whose sum is σ = 3960355896. Its totient is φ = 478033920.

The previous prime is 1429282957. The next prime is 1429282979. The reversal of 1429282960 is 692829241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38291344 + 1390991616 = 6188^2 + 37296^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156274 + ... + 165166.

Almost surely, 2^1429282960 is an apocalyptic number.

1429282960 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 1429282960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980177948).

1429282960 is an abundant number, since it is smaller than the sum of its proper divisors (2531072936).

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

1429282960 is a wasteful number, since it uses less digits than its factorization.

1429282960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8961 (or 8948 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 1429282960 is about 37805.8588052170. The cubic root of 1429282960 is about 1126.4348335864.

The spelling of 1429282960 in words is "one billion, four hundred twenty-nine million, two hundred eighty-two thousand, nine hundred sixty".