429841940 has 192 divisors, whose sum is σ = 1149603840. Its totient is φ = 132802560.

The previous prime is 429841933. The next prime is 429841981. The reversal of 429841940 is 49148924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1634249 + ... + 1634511.

It is an arithmetic number, because the mean of its divisors is an integer number (5987520).

Almost surely, 2^429841940 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 429841940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574801920).

429841940 is an abundant number, since it is smaller than the sum of its proper divisors (719761900).

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

429841940 is a wasteful number, since it uses less digits than its factorization.

429841940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 429841940 is about 20732.6298380114. The cubic root of 429841940 is about 754.6917385480.

The spelling of 429841940 in words is "four hundred twenty-nine million, eight hundred forty-one thousand, nine hundred forty".