451215360 has 340 divisors, whose sum is σ = 1712835828. Its totient is φ = 113246208.

The previous prime is 451215337. The next prime is 451215361. The reversal of 451215360 is 63512154.

451215360 is a `hidden beast` number, since 4 + 5 + 121 + 536 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 260112384 + 191102976 = 16128^2 + 13824^2 .

It is a tau number, because it is divible by the number of its divisors (340).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451215361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26542072 + ... + 26542088.

Almost surely, 2^451215360 is an apocalyptic number.

451215360 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 451215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856417914).

451215360 is an abundant number, since it is smaller than the sum of its proper divisors (1261620468).

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

451215360 is an frugal number, since it uses more digits than its factorization.

451215360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 451215360 is about 21241.8304296028. The cubic root of 451215360 is about 766.9986950836.

The spelling of 451215360 in words is "four hundred fifty-one million, two hundred fifteen thousand, three hundred sixty".