420576 has 48 divisors (see below), whose sum is σ = 1192464. Its totient is φ = 129024.

The previous prime is 420571. The next prime is 420593. The reversal of 420576 is 675024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1080 + ... + 1416.

It is an arithmetic number, because the mean of its divisors is an integer number (24843).

2⁴²⁰⁵⁷⁶ 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 420576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596232).

420576 is an abundant number, since it is smaller than the sum of its proper divisors (771888).

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

420576 is a wasteful number, since it uses less digits than its factorization.

420576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 420576 is about 648.5183112295. The cubic root of 420576 is about 74.9229430791.

The spelling of 420576 in words is "four hundred twenty thousand, five hundred seventy-six".