451360440 has 96 divisors (see below), whose sum is σ = 1470830400. Its totient is φ = 120042240.

The previous prime is 451360433. The next prime is 451360453. The reversal of 451360440 is 44063154.

451360440 is a `hidden beast` number, since 4 + 5 + 13 + 604 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153706 + ... + 156614.

It is an arithmetic number, because the mean of its divisors is an integer number (15321150).

Almost surely, 2^451360440 is an apocalyptic number.

451360440 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 451360440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735415200).

451360440 is an abundant number, since it is smaller than the sum of its proper divisors (1019469960).

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

451360440 is a wasteful number, since it uses less digits than its factorization.

451360440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 451360440 is about 21245.2451150840. The cubic root of 451360440 is about 767.0808910491.

The spelling of 451360440 in words is "four hundred fifty-one million, three hundred sixty thousand, four hundred forty".