420729 has 8 divisors (see below), whose sum is σ = 570720. Its totient is φ = 275616.

The previous prime is 420691. The next prime is 420731. The reversal of 420729 is 927024.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 420729 - 2¹³ = 412537 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 420699 and 420708.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420729.

It is not an unprimeable number, because it can be changed into a prime (420769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1012 + ... + 1365.

It is an arithmetic number, because the mean of its divisors is an integer number (71340).

2⁴²⁰⁷²⁹ is an apocalyptic number.

It is an amenable number.

420729 is a deficient number, since it is larger than the sum of its proper divisors (149991).

420729 is a wasteful number, since it uses less digits than its factorization.

420729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 420729 is about 648.6362617061. The cubic root of 420729 is about 74.9320273037.

The spelling of 420729 in words is "four hundred twenty thousand, seven hundred twenty-nine".