450355120 has 40 divisors (see below), whose sum is σ = 1075382064. Its totient is φ = 175272192.

The previous prime is 450355099. The next prime is 450355127. The reversal of 450355120 is 21553054.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×450355120² = 405639468220428800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (450355127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73114 + ... + 79033.

Almost surely, 2^450355120 is an apocalyptic number.

450355120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450355120 is an abundant number, since it is smaller than the sum of its proper divisors (625026944).

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

450355120 is a wasteful number, since it uses less digits than its factorization.

450355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152197 (or 152191 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 450355120 is about 21221.5720435598. The cubic root of 450355120 is about 766.5109585063.

The spelling of 450355120 in words is "four hundred fifty million, three hundred fifty-five thousand, one hundred twenty".