429480 has 48 divisors (see below), whose sum is σ = 1396980. Its totient is φ = 114432.

The previous prime is 429469. The next prime is 429487. The reversal of 429480 is 84924.

It can be written as a sum of positive squares in 2 ways, for example, as 427716 + 1764 = 654^2 + 42^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 429480.

It is not an unprimeable number, because it can be changed into a prime (429487) by changing a digit.

429480 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 11 ways as a sum of consecutive naturals, for example, 237 + ... + 956.

2⁴²⁹⁴⁸⁰ is an apocalyptic number.

429480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429480 is an abundant number, since it is smaller than the sum of its proper divisors (967500).

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

429480 is a wasteful number, since it uses less digits than its factorization.

429480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 429480 is about 655.3472362038. The cubic root of 429480 is about 75.4479854592.

It can be divided in two parts, 429 and 480, that added together give a palindrome (909).

The spelling of 429480 in words is "four hundred twenty-nine thousand, four hundred eighty".