429325344 has 144 divisors (see below), whose sum is σ = 1477502208. Its totient is φ = 115439616.

The previous prime is 429325331. The next prime is 429325397. The reversal of 429325344 is 443523924.

429325344 is a `hidden beast` number, since 4 + 293 + 25 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 429325299 and 429325308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28009 + ... + 40535.

It is an arithmetic number, because the mean of its divisors is an integer number (10260432).

Almost surely, 2^429325344 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 429325344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738751104).

429325344 is an abundant number, since it is smaller than the sum of its proper divisors (1048176864).

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

429325344 is a wasteful number, since it uses less digits than its factorization.

429325344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12567 (or 12556 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 429325344 is about 20720.1675668900. The cubic root of 429325344 is about 754.3892808402.

The spelling of 429325344 in words is "four hundred twenty-nine million, three hundred twenty-five thousand, three hundred forty-four".