451944144 has 80 divisors (see below), whose sum is σ = 1321790400. Its totient is φ = 147798144.

The previous prime is 451944131. The next prime is 451944161. The reversal of 451944144 is 441449154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 451944099 and 451944108.

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, 13027 + ... + 32765.

It is an arithmetic number, because the mean of its divisors is an integer number (16522380).

Almost surely, 2^451944144 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 451944144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660895200).

451944144 is an abundant number, since it is smaller than the sum of its proper divisors (869846256).

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

451944144 is a wasteful number, since it uses less digits than its factorization.

451944144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19809 (or 19797 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 451944144 is about 21258.9779622634. The cubic root of 451944144 is about 767.4114142648.

The spelling of 451944144 in words is "four hundred fifty-one million, nine hundred forty-four thousand, one hundred forty-four".