1429224384 has 224 divisors, whose sum is σ = 4604024320. Its totient is φ = 382205952.

The previous prime is 1429224373. The next prime is 1429224397. The reversal of 1429224384 is 4834229241.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 2476704 + ... + 2477280.

It is an arithmetic number, because the mean of its divisors is an integer number (20553680).

Almost surely, 2^1429224384 is an apocalyptic number.

1429224384 is a gapful number since it is divisible by the number (14) 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 1429224384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302012160).

1429224384 is an abundant number, since it is smaller than the sum of its proper divisors (3174799936).

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

1429224384 is a wasteful number, since it uses less digits than its factorization.

1429224384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 705 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 1429224384 is about 37805.0841025384. The cubic root of 1429224384 is about 1126.4194452297.

The spelling of 1429224384 in words is "one billion, four hundred twenty-nine million, two hundred twenty-four thousand, three hundred eighty-four".