429721264 has 40 divisors (see below), whose sum is σ = 959049728. Its totient is φ = 182710080.

The previous prime is 429721261. The next prime is 429721267. The reversal of 429721264 is 462127924.

It is an interprime number because it is at equal distance from previous prime (429721261) and next prime (429721267).

It is not an unprimeable number, because it can be changed into a prime (429721261) 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 7 ways as a sum of consecutive naturals, for example, 882 + ... + 29329.

Almost surely, 2^429721264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429721264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479524864).

429721264 is an abundant number, since it is smaller than the sum of its proper divisors (529328464).

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

429721264 is a wasteful number, since it uses less digits than its factorization.

429721264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30353 (or 30347 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 429721264 is about 20729.7193420461. The cubic root of 429721264 is about 754.6211066126.

The spelling of 429721264 in words is "four hundred twenty-nine million, seven hundred twenty-one thousand, two hundred sixty-four".