450389160 has 480 divisors, whose sum is σ = 1778598360. Its totient is φ = 101523456.

The previous prime is 450389153. The next prime is 450389171. The reversal of 450389160 is 61983054.

450389160 is a `hidden beast` number, since 4 + 503 + 8 + 91 + 60 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 164711556 + 285677604 = 12834^2 + 16902^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12172662 + ... + 12172698.

Almost surely, 2^450389160 is an apocalyptic number.

450389160 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 450389160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889299180).

450389160 is an abundant number, since it is smaller than the sum of its proper divisors (1328209200).

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

450389160 is a wasteful number, since it uses less digits than its factorization.

450389160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 450389160 is about 21222.3740425052. The cubic root of 450389160 is about 766.5302702113.

The spelling of 450389160 in words is "four hundred fifty million, three hundred eighty-nine thousand, one hundred sixty".