450205380 has 72 divisors (see below), whose sum is σ = 1437508800. Its totient is φ = 113735232.

The previous prime is 450205351. The next prime is 450205387. The reversal of 450205380 is 83502054.

450205380 is a `hidden beast` number, since 450 + 205 + 3 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (450205387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62400 + ... + 69239.

It is an arithmetic number, because the mean of its divisors is an integer number (19965400).

Almost surely, 2^450205380 is an apocalyptic number.

It is an amenable number.

450205380 is an abundant number, since it is smaller than the sum of its proper divisors (987303420).

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

450205380 is a wasteful number, since it uses less digits than its factorization.

450205380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131673 (or 131668 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 450205380 is about 21218.0437364051. The cubic root of 450205380 is about 766.4259958705.

The spelling of 450205380 in words is "four hundred fifty million, two hundred five thousand, three hundred eighty".