451872 has 48 divisors (see below), whose sum is σ = 1320480. Its totient is φ = 150336.

The previous prime is 451859. The next prime is 451873. The reversal of 451872 is 278154.

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

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

It is not an unprimeable number, because it can be changed into a prime (451873) by changing a digit.

451872 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 7 ways as a sum of consecutive naturals, for example, 603 + ... + 1125.

It is an arithmetic number, because the mean of its divisors is an integer number (27510).

2⁴⁵¹⁸⁷² 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 451872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660240).

451872 is an abundant number, since it is smaller than the sum of its proper divisors (868608).

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

451872 is a wasteful number, since it uses less digits than its factorization.

451872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 528 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 451872 is about 672.2142515597. The cubic root of 451872 is about 76.7370578042.

The spelling of 451872 in words is "four hundred fifty-one thousand, eight hundred seventy-two".