1429239168 has 320 divisors, whose sum is σ = 4976294400. Its totient is φ = 398711808.

The previous prime is 1429239157. The next prime is 1429239191. The reversal of 1429239168 is 8619329241.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3410863 + ... + 3411281.

It is an arithmetic number, because the mean of its divisors is an integer number (15550920).

Almost surely, 2^1429239168 is an apocalyptic number.

1429239168 is a gapful number since it is divisible by the number (18) 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 1429239168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488147200).

1429239168 is an abundant number, since it is smaller than the sum of its proper divisors (3547055232).

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

1429239168 is an equidigital number, since it uses as much as digits as its factorization.

1429239168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 478 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 1429239168 is about 37805.2796312896. The cubic root of 1429239168 is about 1126.4233291376.

The spelling of 1429239168 in words is "one billion, four hundred twenty-nine million, two hundred thirty-nine thousand, one hundred sixty-eight".