420567 has 12 divisors (see below), whose sum is σ = 652536. Its totient is φ = 240240.

The previous prime is 420557. The next prime is 420569. The reversal of 420567 is 765024.

It is a happy number.

It is not a de Polignac number, because 420567 - 2⁴ = 420551 is a prime.

420567 is a modest number, since divided by 567 gives 420 as remainder.

420567 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1284 + ... + 1577.

It is an arithmetic number, because the mean of its divisors is an integer number (54378).

2⁴²⁰⁵⁶⁷ is an apocalyptic number.

420567 is a deficient number, since it is larger than the sum of its proper divisors (231969).

420567 is a wasteful number, since it uses less digits than its factorization.

420567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 420567 is about 648.5113722981. The cubic root of 420567 is about 74.9224086443.

The spelling of 420567 in words is "four hundred twenty thousand, five hundred sixty-seven".