20429472 has 144 divisors (see below), whose sum is σ = 64465632. Its totient is φ = 5644800.

The previous prime is 20429471. The next prime is 20429477. The reversal of 20429472 is 27492402.

It is not an unprimeable number, because it can be changed into a prime (20429471) 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 23 ways as a sum of consecutive naturals, for example, 202222 + ... + 202322.

It is an arithmetic number, because the mean of its divisors is an integer number (447678).

Almost surely, 2^20429472 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 20429472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32232816).

20429472 is an abundant number, since it is smaller than the sum of its proper divisors (44036160).

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

20429472 is a wasteful number, since it uses less digits than its factorization.

20429472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 20429472 is about 4519.8973439670. The cubic root of 20429472 is about 273.3709618366.

The spelling of 20429472 in words is "twenty million, four hundred twenty-nine thousand, four hundred seventy-two".