429021780 has 96 divisors (see below), whose sum is σ = 1323399168. Its totient is φ = 102979200.

The previous prime is 429021779. The next prime is 429021787. The reversal of 429021780 is 87120924.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429021787) 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 31 ways as a sum of consecutive naturals, for example, 64825 + ... + 71135.

It is an arithmetic number, because the mean of its divisors is an integer number (13785408).

Almost surely, 2^429021780 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 429021780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661699584).

429021780 is an abundant number, since it is smaller than the sum of its proper divisors (894377388).

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

429021780 is a wasteful number, since it uses less digits than its factorization.

429021780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6437 (or 6435 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 429021780 is about 20712.8409446894. The cubic root of 429021780 is about 754.2114363636.

The spelling of 429021780 in words is "four hundred twenty-nine million, twenty-one thousand, seven hundred eighty".