450961920 has 360 divisors, whose sum is σ = 1676791116. Its totient is φ = 111919104.

The previous prime is 450961909. The next prime is 450961921. The reversal of 450961920 is 29169054.

450961920 is a `hidden beast` number, since 4 + 509 + 61 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 439992576 + 10969344 = 20976^2 + 3312^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (450961921) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12188142 + ... + 12188178.

Almost surely, 2^450961920 is an apocalyptic number.

450961920 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 450961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838395558).

450961920 is an abundant number, since it is smaller than the sum of its proper divisors (1225829196).

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

450961920 is a wasteful number, since it uses less digits than its factorization.

450961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 450961920 is about 21235.8640040852. The cubic root of 450961920 is about 766.8550648110.

The spelling of 450961920 in words is "four hundred fifty million, nine hundred sixty-one thousand, nine hundred twenty".