420456 has 16 divisors (see below), whose sum is σ = 1051200. Its totient is φ = 140144.

The previous prime is 420439. The next prime is 420457. The reversal of 420456 is 654024.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420456.

It is not an unprimeable number, because it can be changed into a prime (420457) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8736 + ... + 8783.

It is an arithmetic number, because the mean of its divisors is an integer number (65700).

2⁴²⁰⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

420456 is an abundant number, since it is smaller than the sum of its proper divisors (630744).

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

420456 is a wasteful number, since it uses less digits than its factorization.

420456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17528 (or 17524 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 420456 is about 648.4257860388. The cubic root of 420456 is about 74.9158166553.

The spelling of 420456 in words is "four hundred twenty thousand, four hundred fifty-six".