1429968384 has 320 divisors, whose sum is σ = 4663243200. Its totient is φ = 429981696.

The previous prime is 1429968383. The next prime is 1429968389. The reversal of 1429968384 is 4838699241.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 1429968384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429968383) 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 31 ways as a sum of consecutive naturals, for example, 13118922 + ... + 13119030.

It is an arithmetic number, because the mean of its divisors is an integer number (14572635).

Almost surely, 2^1429968384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331621600).

1429968384 is an abundant number, since it is smaller than the sum of its proper divisors (3233274816).

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

1429968384 is a wasteful number, since it uses less digits than its factorization.

1429968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 1429968384 is about 37814.9227686637. The cubic root of 1429968384 is about 1126.6148684020.

The spelling of 1429968384 in words is "one billion, four hundred twenty-nine million, nine hundred sixty-eight thousand, three hundred eighty-four".