429694720 has 432 divisors, whose sum is σ = 1409280768. Its totient is φ = 123863040.

The previous prime is 429694697. The next prime is 429694723. The reversal of 429694720 is 27496924.

429694720 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429694723) 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 47 ways as a sum of consecutive naturals, for example, 13861105 + ... + 13861135.

It is an arithmetic number, because the mean of its divisors is an integer number (3262224).

Almost surely, 2^429694720 is an apocalyptic number.

429694720 is a gapful number since it is divisible by the number (40) 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 429694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704640384).

429694720 is an abundant number, since it is smaller than the sum of its proper divisors (979586048).

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

429694720 is a wasteful number, since it uses less digits than its factorization.

429694720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 429694720 is about 20729.0790919423. The cubic root of 429694720 is about 754.6055685753.

The spelling of 429694720 in words is "four hundred twenty-nine million, six hundred ninety-four thousand, seven hundred twenty".