420312 has 32 divisors (see below), whose sum is σ = 1068480. Its totient is φ = 137760.

The previous prime is 420307. The next prime is 420313. The reversal of 420312 is 213024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420313) 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, 1887 + ... + 2097.

It is an arithmetic number, because the mean of its divisors is an integer number (33390).

2⁴²⁰³¹² is an apocalyptic number.

It is an amenable number.

420312 is an abundant number, since it is smaller than the sum of its proper divisors (648168).

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

420312 is a wasteful number, since it uses less digits than its factorization.

420312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 420312 is about 648.3147383794. The cubic root of 420312 is about 74.9072631567.

Adding to 420312 its reverse (213024), we get a palindrome (633336).

The spelling of 420312 in words is "four hundred twenty thousand, three hundred twelve", and thus it is an iban number.