1429889200 has 60 divisors (see below), whose sum is σ = 3449913120. Its totient is φ = 569524480.

The previous prime is 1429889113. The next prime is 1429889203. The reversal of 1429889200 is 29889241.

It is not an unprimeable number, because it can be changed into a prime (1429889203) 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 11 ways as a sum of consecutive naturals, for example, 88122 + ... + 103078.

It is an arithmetic number, because the mean of its divisors is an integer number (57498552).

Almost surely, 2^1429889200 is an apocalyptic number.

1429889200 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 1429889200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724956560).

1429889200 is an abundant number, since it is smaller than the sum of its proper divisors (2020023920).

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

1429889200 is a wasteful number, since it uses less digits than its factorization.

1429889200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15214 (or 15203 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 1429889200 is about 37813.8757600963. The cubic root of 1429889200 is about 1126.5940727165.

The spelling of 1429889200 in words is "one billion, four hundred twenty-nine million, eight hundred eighty-nine thousand, two hundred".