451880 has 64 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 149760.

The previous prime is 451879. The next prime is 451897. The reversal of 451880 is 88154.

451880 = T₆₅ + T₆₆ + ... + T₁₄₃.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5681 + ... + 5759.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2⁴⁵¹⁸⁸⁰ is an apocalyptic number.

451880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

451880 is an abundant number, since it is smaller than the sum of its proper divisors (757720).

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

451880 is a wasteful number, since it uses less digits than its factorization.

451880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 451880 is about 672.2202020172. The cubic root of 451880 is about 76.7375106558.

It can be divided in two parts, 451 and 880, that added together give a palindrome (1331).

The spelling of 451880 in words is "four hundred fifty-one thousand, eight hundred eighty".