429434816 has 56 divisors (see below), whose sum is σ = 884066304. Its totient is φ = 206749440.

The previous prime is 429434809. The next prime is 429434833. The reversal of 429434816 is 618434924.

It is a super-2 number, since 2×429434816² = 368828522385907712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 521381 + ... + 522203.

Almost surely, 2^429434816 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 429434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442033152).

429434816 is an abundant number, since it is smaller than the sum of its proper divisors (454631488).

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

429434816 is a wasteful number, since it uses less digits than its factorization.

429434816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1119 counting only the distinct ones).

The product of its digits is 165888, while the sum is 41.

The square root of 429434816 is about 20722.8090759916. The cubic root of 429434816 is about 754.4533949875.

The spelling of 429434816 in words is "four hundred twenty-nine million, four hundred thirty-four thousand, eight hundred sixteen".