420496 has 20 divisors (see below), whose sum is σ = 835884. Its totient is φ = 204800.

The previous prime is 420481. The next prime is 420499. The reversal of 420496 is 694024.

420496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 190096 + 230400 = 436^2 + 480^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 420496.

It is not an unprimeable number, because it can be changed into a prime (420499) 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, 336 + ... + 976.

2⁴²⁰⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

420496 is a deficient number, since it is larger than the sum of its proper divisors (415388).

420496 is a wasteful number, since it uses less digits than its factorization.

420496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 420496 is about 648.4566292359. The cubic root of 420496 is about 74.9181922806.

Adding to 420496 its product of nonzero digits (1728), we get a palindrome (422224).

The spelling of 420496 in words is "four hundred twenty thousand, four hundred ninety-six".