429309384 has 96 divisors (see below), whose sum is σ = 1264579200. Its totient is φ = 121080960.

The previous prime is 429309383. The next prime is 429309407. The reversal of 429309384 is 483903924.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429309383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90594 + ... + 95214.

It is an arithmetic number, because the mean of its divisors is an integer number (13172700).

Almost surely, 2^429309384 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 429309384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632289600).

429309384 is an abundant number, since it is smaller than the sum of its proper divisors (835269816).

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

429309384 is a wasteful number, since it uses less digits than its factorization.

429309384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4723 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 429309384 is about 20719.7824312902. The cubic root of 429309384 is about 754.3799326833.

The spelling of 429309384 in words is "four hundred twenty-nine million, three hundred nine thousand, three hundred eighty-four".