451680 has 48 divisors (see below), whose sum is σ = 1424304. Its totient is φ = 120320.

The previous prime is 451679. The next prime is 451681. The reversal of 451680 is 86154.

It is an interprime number because it is at equal distance from previous prime (451679) and next prime (451681).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 451680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451681) 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, 10 + ... + 950.

It is an arithmetic number, because the mean of its divisors is an integer number (29673).

2⁴⁵¹⁶⁸⁰ is an apocalyptic number.

451680 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 451680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712152).

451680 is an abundant number, since it is smaller than the sum of its proper divisors (972624).

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

451680 is a wasteful number, since it uses less digits than its factorization.

451680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 451680 is about 672.0714247757. The cubic root of 451680 is about 76.7261877626.

The spelling of 451680 in words is "four hundred fifty-one thousand, six hundred eighty".