429814944 has 192 divisors, whose sum is σ = 1430110080. Its totient is φ = 124416000.

The previous prime is 429814939. The next prime is 429814949. The reversal of 429814944 is 449418924.

It is an interprime number because it is at equal distance from previous prime (429814939) and next prime (429814949).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 429814944.

It is not an unprimeable number, because it can be changed into a prime (429814949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189819 + ... + 192069.

It is an arithmetic number, because the mean of its divisors is an integer number (7448490).

Almost surely, 2^429814944 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 429814944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715055040).

429814944 is an abundant number, since it is smaller than the sum of its proper divisors (1000295136).

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

429814944 is a wasteful number, since it uses less digits than its factorization.

429814944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2286 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 429814944 is about 20731.9787767593. The cubic root of 429814944 is about 754.6759388762.

The spelling of 429814944 in words is "four hundred twenty-nine million, eight hundred fourteen thousand, nine hundred forty-four".