420772 has 24 divisors (see below), whose sum is σ = 820512. Its totient is φ = 187200.

The previous prime is 420769. The next prime is 420779. The reversal of 420772 is 277024.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (420779) 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, 3147 + ... + 3277.

It is an arithmetic number, because the mean of its divisors is an integer number (34188).

2⁴²⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

420772 is a deficient number, since it is larger than the sum of its proper divisors (399740).

420772 is a wasteful number, since it uses less digits than its factorization.

420772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 420772 is about 648.6694073255. The cubic root of 420772 is about 74.9345799899.

Adding to 420772 its reverse (277024), we get a palindrome (697796).

The spelling of 420772 in words is "four hundred twenty thousand, seven hundred seventy-two", and thus it is an iban number.