420896 has 24 divisors (see below), whose sum is σ = 947520. Its totient is φ = 180288.

The previous prime is 420859. The next prime is 420899. The reversal of 420896 is 698024.

It is not an unprimeable number, because it can be changed into a prime (420899) by changing a digit.

420896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 716 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (39480).

2⁴²⁰⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

420896 is an abundant number, since it is smaller than the sum of its proper divisors (526624).

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

420896 is a wasteful number, since it uses less digits than its factorization.

420896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 420896 is about 648.7649805592. The cubic root of 420896 is about 74.9419402510.

The spelling of 420896 in words is "four hundred twenty thousand, eight hundred ninety-six".