451455360 has 128 divisors (see below), whose sum is σ = 1459179360. Its totient is φ = 118702080.

The previous prime is 451455359. The next prime is 451455373. The reversal of 451455360 is 63554154.

It is a tau number, because it is divible by the number of its divisors (128).

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, 138550 + ... + 141770.

Almost surely, 2^451455360 is an apocalyptic number.

451455360 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 451455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729589680).

451455360 is an abundant number, since it is smaller than the sum of its proper divisors (1007724000).

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

451455360 is a wasteful number, since it uses less digits than its factorization.

451455360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 451455360 is about 21247.4789092730. The cubic root of 451455360 is about 767.1346590272.

It can be divided in two parts, 45145 and 5360, that added together give a palindrome (50505).

The spelling of 451455360 in words is "four hundred fifty-one million, four hundred fifty-five thousand, three hundred sixty".