429780 has 96 divisors (see below), whose sum is σ = 1411200. Its totient is φ = 96768.

The previous prime is 429773. The next prime is 429791. The reversal of 429780 is 87924.

429780 = T₁₃₁ + T₁₃₂ + ... + T₁₆₈.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 429780.

It is an unprimeable number.

429780 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14806 + ... + 14834.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2⁴²⁹⁷⁸⁰ 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 429780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705600).

429780 is an abundant number, since it is smaller than the sum of its proper divisors (981420).

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

429780 is a wasteful number, since it uses less digits than its factorization.

429780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 429780 is about 655.5760825411. The cubic root of 429780 is about 75.4655486578.

The spelling of 429780 in words is "four hundred twenty-nine thousand, seven hundred eighty".