450801180 has 96 divisors (see below), whose sum is σ = 1405615680. Its totient is φ = 119946240.

The previous prime is 450801179. The next prime is 450801181. The reversal of 450801180 is 81108054.

It is an interprime number because it is at equal distance from previous prime (450801179) and next prime (450801181).

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 (450801181) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 410392 + ... + 411488.

It is an arithmetic number, because the mean of its divisors is an integer number (14641830).

Almost surely, 2^450801180 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 450801180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702807840).

450801180 is an abundant number, since it is smaller than the sum of its proper divisors (954814500).

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

450801180 is a wasteful number, since it uses less digits than its factorization.

450801180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 450801180 is about 21232.0790315033. The cubic root of 450801180 is about 766.7639418684.

The spelling of 450801180 in words is "four hundred fifty million, eight hundred one thousand, one hundred eighty".