1429084020 has 288 divisors, whose sum is σ = 5067619200. Its totient is φ = 298238976.

The previous prime is 1429084003. The next prime is 1429084043. The reversal of 1429084020 is 204809241.

1429084020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1429084020² = 4084562272438720800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5312446 + ... + 5312714.

It is an arithmetic number, because the mean of its divisors is an integer number (17595900).

Almost surely, 2^1429084020 is an apocalyptic number.

1429084020 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 1429084020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533809600).

1429084020 is an abundant number, since it is smaller than the sum of its proper divisors (3638535180).

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

1429084020 is a wasteful number, since it uses less digits than its factorization.

1429084020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1429084020 is about 37803.2276399780. The cubic root of 1429084020 is about 1126.3825688379.

The spelling of 1429084020 in words is "one billion, four hundred twenty-nine million, eighty-four thousand, twenty".