451944960 has 160 divisors (see below), whose sum is σ = 1464281280. Its totient is φ = 118898688.

The previous prime is 451944953. The next prime is 451945031. The reversal of 451944960 is 69449154.

It is a tau number, because it is divible by the number of its divisors (160).

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, 637086 + ... + 637794.

It is an arithmetic number, because the mean of its divisors is an integer number (9151758).

Almost surely, 2^451944960 is an apocalyptic number.

451944960 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 451944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732140640).

451944960 is an abundant number, since it is smaller than the sum of its proper divisors (1012336320).

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

451944960 is an equidigital number, since it uses as much as digits as its factorization.

451944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 451944960 is about 21258.9971541463. The cubic root of 451944960 is about 767.4118761267.

The spelling of 451944960 in words is "four hundred fifty-one million, nine hundred forty-four thousand, nine hundred sixty".