429739264 has 72 divisors (see below), whose sum is σ = 920535840. Its totient is φ = 199600128.

The previous prime is 429739253. The next prime is 429739309. The reversal of 429739264 is 462937924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256959 + ... + 258625.

It is an arithmetic number, because the mean of its divisors is an integer number (12785220).

Almost surely, 2^429739264 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 429739264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460267920).

429739264 is an abundant number, since it is smaller than the sum of its proper divisors (490796576).

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

429739264 is a wasteful number, since it uses less digits than its factorization.

429739264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1741 counting only the distinct ones).

The product of its digits is 653184, while the sum is 46.

The square root of 429739264 is about 20730.1534967786. The cubic root of 429739264 is about 754.6316428923.

The spelling of 429739264 in words is "four hundred twenty-nine million, seven hundred thirty-nine thousand, two hundred sixty-four".