1429608960 has 640 divisors, whose sum is σ = 5747132160. Its totient is φ = 334430208.

The previous prime is 1429608919. The next prime is 1429608967. The reversal of 1429608960 is 698069241.

It is a happy number.

1429608960 is a `hidden beast` number, since 14 + 29 + 608 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (1429608967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33246699 + ... + 33246741.

It is an arithmetic number, because the mean of its divisors is an integer number (8979894).

Almost surely, 2^1429608960 is an apocalyptic number.

1429608960 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 1429608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873566080).

1429608960 is an abundant number, since it is smaller than the sum of its proper divisors (4317523200).

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

1429608960 is a wasteful number, since it uses less digits than its factorization.

1429608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

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

The square root of 1429608960 is about 37810.1700604480. The cubic root of 1429608960 is about 1126.5204685634.

The spelling of 1429608960 in words is "one billion, four hundred twenty-nine million, six hundred eight thousand, nine hundred sixty".