1429089360 has 320 divisors, whose sum is σ = 4976681472. Its totient is φ = 337379328.

The previous prime is 1429089359. The next prime is 1429089373. The reversal of 1429089360 is 639809241.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 9102402 + ... + 9102558.

Almost surely, 2^1429089360 is an apocalyptic number.

1429089360 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 1429089360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488340736).

1429089360 is an abundant number, since it is smaller than the sum of its proper divisors (3547592112).

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

1429089360 is a wasteful number, since it uses less digits than its factorization.

1429089360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1429089360 is about 37803.2982688019. The cubic root of 1429089360 is about 1126.3839718054.

The spelling of 1429089360 in words is "one billion, four hundred twenty-nine million, eighty-nine thousand, three hundred sixty".