1429300872 has 96 divisors (see below), whose sum is σ = 3947182200. Its totient is φ = 467140608.

The previous prime is 1429300853. The next prime is 1429300903. The reversal of 1429300872 is 2780039241.

It can be written as a sum of positive squares in 4 ways, for example, as 650556036 + 778744836 = 25506^2 + 27906^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1013704 + ... + 1015112.

Almost surely, 2^1429300872 is an apocalyptic number.

1429300872 is a gapful number since it is divisible by the number (12) 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 1429300872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973591100).

1429300872 is an abundant number, since it is smaller than the sum of its proper divisors (2517881328).

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

1429300872 is a wasteful number, since it uses less digits than its factorization.

1429300872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1429300872 is about 37806.0956989743. The cubic root of 1429300872 is about 1126.4395391199.

The spelling of 1429300872 in words is "one billion, four hundred twenty-nine million, three hundred thousand, eight hundred seventy-two".