429923412 has 72 divisors (see below), whose sum is σ = 1148507360. Its totient is φ = 135224640.

The previous prime is 429923411. The next prime is 429923423. The reversal of 429923412 is 214329924.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429923411) by changing a digit.

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, 192462 + ... + 194682.

Almost surely, 2^429923412 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 429923412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574253680).

429923412 is an abundant number, since it is smaller than the sum of its proper divisors (718583948).

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

429923412 is a wasteful number, since it uses less digits than its factorization.

429923412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2528 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 429923412 is about 20734.5945704275. The cubic root of 429923412 is about 754.7394168186.

The spelling of 429923412 in words is "four hundred twenty-nine million, nine hundred twenty-three thousand, four hundred twelve".