420948 has 36 divisors (see below), whose sum is σ = 1161888. Its totient is φ = 127440.

The previous prime is 420941. The next prime is 420967. The reversal of 420948 is 849024.

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420948.

It is not an unprimeable number, because it can be changed into a prime (420941) by changing a digit.

420948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136 + ... + 927.

2⁴²⁰⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580944).

420948 is an abundant number, since it is smaller than the sum of its proper divisors (740940).

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

420948 is a wasteful number, since it uses less digits than its factorization.

420948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 420948 is about 648.8050554674. The cubic root of 420948 is about 74.9450263819.

The spelling of 420948 in words is "four hundred twenty thousand, nine hundred forty-eight".