429617472 has 112 divisors (see below), whose sum is σ = 1231952832. Its totient is φ = 131604480.

The previous prime is 429617443. The next prime is 429617477. The reversal of 429617472 is 274716924.

Its product of digits (169344) is a multiple of the sum of its prime factors (3136).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429617477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138822 + ... + 141882.

Almost surely, 2^429617472 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 429617472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615976416).

429617472 is an abundant number, since it is smaller than the sum of its proper divisors (802335360).

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

429617472 is a wasteful number, since it uses less digits than its factorization.

429617472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3126 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 429617472 is about 20727.2157319791. The cubic root of 429617472 is about 754.5603463421.

The spelling of 429617472 in words is "four hundred twenty-nine million, six hundred seventeen thousand, four hundred seventy-two".