429183072 has 144 divisors (see below), whose sum is σ = 1254839040. Its totient is φ = 139104000.

The previous prime is 429183049. The next prime is 429183113. The reversal of 429183072 is 270381924.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2842197 + ... + 2842347.

It is an arithmetic number, because the mean of its divisors is an integer number (8714160).

Almost surely, 2^429183072 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 429183072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627419520).

429183072 is an abundant number, since it is smaller than the sum of its proper divisors (825655968).

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

429183072 is a wasteful number, since it uses less digits than its factorization.

429183072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 429183072 is about 20716.7341055486. The cubic root of 429183072 is about 754.3059405241.

The spelling of 429183072 in words is "four hundred twenty-nine million, one hundred eighty-three thousand, seventy-two".