429431920 has 80 divisors (see below), whose sum is σ = 1058503680. Its totient is φ = 161568000.

The previous prime is 429431911. The next prime is 429431921. The reversal of 429431920 is 29134924.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429431921) 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 15 ways as a sum of consecutive naturals, for example, 228585 + ... + 230455.

It is an arithmetic number, because the mean of its divisors is an integer number (13231296).

Almost surely, 2^429431920 is an apocalyptic number.

429431920 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 429431920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529251840).

429431920 is an abundant number, since it is smaller than the sum of its proper divisors (629071760).

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

429431920 is a wasteful number, since it uses less digits than its factorization.

429431920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 429431920 is about 20722.7392011770. The cubic root of 429431920 is about 754.4516990360.

The spelling of 429431920 in words is "four hundred twenty-nine million, four hundred thirty-one thousand, nine hundred twenty".