420876 has 36 divisors (see below), whose sum is σ = 1105832. Its totient is φ = 139968.

The previous prime is 420859. The next prime is 420899. The reversal of 420876 is 678024.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

420876 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, 756 + ... + 1188.

2⁴²⁰⁸⁷⁶ 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 420876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552916).

420876 is an abundant number, since it is smaller than the sum of its proper divisors (684956).

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

420876 is a wasteful number, since it uses less digits than its factorization.

420876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 420876 is about 648.7495664738. The cubic root of 420876 is about 74.9407532099.

Adding to 420876 its sum of digits (27), we get a triangular number (420903 = T₉₁₇).

It can be divided in two parts, 420 and 876, that added together give a 4-th power (1296 = 6⁴).

The spelling of 420876 in words is "four hundred twenty thousand, eight hundred seventy-six".