429277968 has 120 divisors (see below), whose sum is σ = 1423950528. Its totient is φ = 122643072.

The previous prime is 429277967. The next prime is 429277969. The reversal of 429277968 is 869772924.

It is an interprime number because it is at equal distance from previous prime (429277967) and next prime (429277969).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (429277967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19330 + ... + 35102.

Almost surely, 2^429277968 is an apocalyptic number.

429277968 is a gapful number since it is divisible by the number (48) 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 429277968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711975264).

429277968 is an abundant number, since it is smaller than the sum of its proper divisors (994672560).

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

429277968 is a wasteful number, since it uses less digits than its factorization.

429277968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15803 (or 15785 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 429277968 is about 20719.0243013516. The cubic root of 429277968 is about 754.3615308974.

The spelling of 429277968 in words is "four hundred twenty-nine million, two hundred seventy-seven thousand, nine hundred sixty-eight".