420472 has 24 divisors (see below), whose sum is σ = 856440. Its totient is φ = 193440.

The previous prime is 420467. The next prime is 420479. The reversal of 420472 is 274024.

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420479) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1197 + ... + 1507.

It is an arithmetic number, because the mean of its divisors is an integer number (35685).

2⁴²⁰⁴⁷² 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 420472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428220).

420472 is an abundant number, since it is smaller than the sum of its proper divisors (435968).

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

420472 is a wasteful number, since it uses less digits than its factorization.

420472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 420472 is about 648.4381234937. The cubic root of 420472 is about 74.9167669235.

Subtracting from 420472 its product of nonzero digits (448), we obtain a palindrome (420024).

Adding to 420472 its reverse (274024), we get a palindrome (694496).

The spelling of 420472 in words is "four hundred twenty thousand, four hundred seventy-two", and thus it is an iban number.