420381 has 12 divisors (see below), whose sum is σ = 654108. Its totient is φ = 258624.

The previous prime is 420367. The next prime is 420383. The reversal of 420381 is 183024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95481 + 324900 = 309^2 + 570^2 .

It is not a de Polignac number, because 420381 - 2⁵ = 420349 is a prime.

It is a super-2 number, since 2×420381² = 353440370322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1680 + ... + 1913.

It is an arithmetic number, because the mean of its divisors is an integer number (54509).

2⁴²⁰³⁸¹ is an apocalyptic number.

It is an amenable number.

420381 is a deficient number, since it is larger than the sum of its proper divisors (233727).

420381 is a wasteful number, since it uses less digits than its factorization.

420381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 420381 is about 648.3679510895. The cubic root of 420381 is about 74.9113619519.

The spelling of 420381 in words is "four hundred twenty thousand, three hundred eighty-one".