429339456 has 168 divisors, whose sum is σ = 1514799104. Its totient is φ = 113218560.

The previous prime is 429339433. The next prime is 429339457. The reversal of 429339456 is 654933924.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429339457) 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 23 ways as a sum of consecutive naturals, for example, 48321 + ... + 56511.

Almost surely, 2^429339456 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 429339456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757399552).

429339456 is an abundant number, since it is smaller than the sum of its proper divisors (1085459648).

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

429339456 is a wasteful number, since it uses less digits than its factorization.

429339456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8229 (or 8216 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 429339456 is about 20720.5081018782. The cubic root of 429339456 is about 754.3975463860.

The spelling of 429339456 in words is "four hundred twenty-nine million, three hundred thirty-nine thousand, four hundred fifty-six".