429329952 has 36 divisors (see below), whose sum is σ = 1220907870. Its totient is φ = 143109888.

The previous prime is 429329921. The next prime is 429329993. The reversal of 429329952 is 259923924.

It can be written as a sum of positive squares in only one way, i.e., 422549136 + 6780816 = 20556^2 + 2604^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 429329898 and 429329907.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 745077 + ... + 745652.

Almost surely, 2^429329952 is an apocalyptic number.

It is an amenable number.

429329952 is an abundant number, since it is smaller than the sum of its proper divisors (791577918).

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

429329952 is a wasteful number, since it uses less digits than its factorization.

429329952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490745 (or 1490734 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 429329952 is about 20720.2787626036. The cubic root of 429329952 is about 754.3919798139.

The spelling of 429329952 in words is "four hundred twenty-nine million, three hundred twenty-nine thousand, nine hundred fifty-two".