451440 has 160 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 103680.

The previous prime is 451439. The next prime is 451441. The reversal of 451440 is 44154.

451440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (451439) and next prime (451441).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 451440.

It is not an unprimeable number, because it can be changed into a prime (451441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23751 + ... + 23769.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2⁴⁵¹⁴⁴⁰ is an apocalyptic number.

451440 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 451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892800).

451440 is an abundant number, since it is smaller than the sum of its proper divisors (1334160).

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

451440 is a wasteful number, since it uses less digits than its factorization.

451440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 451440 is about 671.8928486001. The cubic root of 451440 is about 76.7125958778.

Adding to 451440 its reverse (44154), we get a palindrome (495594).

It can be divided in two parts, 4514 and 40, that added together give a palindrome (4554).

The spelling of 451440 in words is "four hundred fifty-one thousand, four hundred forty".