451980 has 84 divisors (see below), whose sum is σ = 1468992. Its totient is φ = 116640.

The previous prime is 451967. The next prime is 451987. The reversal of 451980 is 89154.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 451980.

It is not an unprimeable number, because it can be changed into a prime (451987) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14565 + ... + 14595.

It is an arithmetic number, because the mean of its divisors is an integer number (17488).

2⁴⁵¹⁹⁸⁰ 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 451980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734496).

451980 is an abundant number, since it is smaller than the sum of its proper divisors (1017012).

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

451980 is a wasteful number, since it uses less digits than its factorization.

451980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 451980 is about 672.2945782914. The cubic root of 451980 is about 76.7431708495.

It can be divided in two parts, 451 and 980, that added together give a triangular number (1431 = T₅₃).

The spelling of 451980 in words is "four hundred fifty-one thousand, nine hundred eighty".