429825072 has 40 divisors (see below), whose sum is σ = 1111268160. Its totient is φ = 143160640.

The previous prime is 429825043. The next prime is 429825073. The reversal of 429825072 is 270528924.

It is a self number, because there is not a number n which added to its sum of digits gives 429825072.

It is not an unprimeable number, because it can be changed into a prime (429825073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74947 + ... + 80477.

It is an arithmetic number, because the mean of its divisors is an integer number (27781704).

Almost surely, 2^429825072 is an apocalyptic number.

It is an amenable number.

429825072 is an abundant number, since it is smaller than the sum of its proper divisors (681443088).

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

429825072 is a wasteful number, since it uses less digits than its factorization.

429825072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7161 (or 7155 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 429825072 is about 20732.2230356515. The cubic root of 429825072 is about 754.6818664643.

The spelling of 429825072 in words is "four hundred twenty-nine million, eight hundred twenty-five thousand, seventy-two".