451620 has 72 divisors (see below), whose sum is σ = 1482936. Its totient is φ = 110592.

The previous prime is 451609. The next prime is 451621. The reversal of 451620 is 26154.

It is a happy number.

451620 is a `hidden beast` number, since 45 + 1 + 620 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 451584 = 6^2 + 672^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 451593 and 451602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451621) by changing a digit.

451620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2244 + ... + 2436.

2⁴⁵¹⁶²⁰ 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 451620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741468).

451620 is an abundant number, since it is smaller than the sum of its proper divisors (1031316).

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

451620 is a wasteful number, since it uses less digits than its factorization.

451620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 451620 is about 672.0267851805. The cubic root of 451620 is about 76.7227902429.

Adding to 451620 its reverse (26154), we get a palindrome (477774).

It can be divided in two parts, 45 and 1620, that multiplied together give a square (72900 = 270²).

The spelling of 451620 in words is "four hundred fifty-one thousand, six hundred twenty".