421764 has 24 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 120480.

The previous prime is 421741. The next prime is 421783. The reversal of 421764 is 467124.

It is a nude number because it is divisible by every one of its digits.

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, 2427 + ... + 2594.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2⁴²¹⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

421764 is an abundant number, since it is smaller than the sum of its proper divisors (703164).

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

421764 is a wasteful number, since it uses less digits than its factorization.

421764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035 (or 5033 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 421764 is about 649.4335993772. The cubic root of 421764 is about 74.9934216452.

Adding to 421764 its reverse (467124), we get a palindrome (888888).

It can be divided in two parts, 42 and 1764, that multiplied together give a cube (74088 = 42³).

The spelling of 421764 in words is "four hundred twenty-one thousand, seven hundred sixty-four".