450881280 has 108 divisors (see below), whose sum is σ = 1560042120. Its totient is φ = 120231936.

The previous prime is 450881147. The next prime is 450881303. The reversal of 450881280 is 82188054.

450881280 is a `hidden beast` number, since 450 + 88 + 128 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8050 + ... + 31089.

Almost surely, 2^450881280 is an apocalyptic number.

450881280 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 450881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780021060).

450881280 is an abundant number, since it is smaller than the sum of its proper divisors (1109160840).

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

450881280 is a wasteful number, since it uses less digits than its factorization.

450881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39166 (or 39149 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 450881280 is about 21233.9652443909. The cubic root of 450881280 is about 766.8093529847.

The spelling of 450881280 in words is "four hundred fifty million, eight hundred eighty-one thousand, two hundred eighty".