450456201 has 32 divisors (see below), whose sum is σ = 722400000. Its totient is φ = 275768064.

The previous prime is 450456179. The next prime is 450456203. The reversal of 450456201 is 102654054.

450456201 is a `hidden beast` number, since 4 + 5 + 0 + 456 + 201 = 666.

It is not a de Polignac number, because 450456201 - 2⁷ = 450456073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (450456203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66625 + ... + 73073.

It is an arithmetic number, because the mean of its divisors is an integer number (22575000).

Almost surely, 2^450456201 is an apocalyptic number.

It is an amenable number.

450456201 is a deficient number, since it is larger than the sum of its proper divisors (271943799).

450456201 is a wasteful number, since it uses less digits than its factorization.

450456201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6670 (or 6664 counting only the distinct ones).

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

The square root of 450456201 is about 21223.9534724330. The cubic root of 450456201 is about 766.5683013267.

The spelling of 450456201 in words is "four hundred fifty million, four hundred fifty-six thousand, two hundred one".