420648 has 32 divisors (see below), whose sum is σ = 1114560. Its totient is φ = 131840.

The previous prime is 420613. The next prime is 420671. The reversal of 420648 is 846024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420648.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (34830).

2⁴²⁰⁶⁴⁸ 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 420648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557280).

420648 is an abundant number, since it is smaller than the sum of its proper divisors (693912).

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

420648 is a wasteful number, since it uses less digits than its factorization.

420648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 420648 is about 648.5738200082. The cubic root of 420648 is about 74.9272182827.

The spelling of 420648 in words is "four hundred twenty thousand, six hundred forty-eight".