450890474448384 has 200 divisors, whose sum is σ = 1389201905560128. Its totient is φ = 145448539729920.

The previous prime is 450890474448331. The next prime is 450890474448389. The reversal of 450890474448384 is 483844474098054.

450890474448384 is a `hidden beast` number, since 4 + 5 + 0 + 89 + 0 + 4 + 74 + 448 + 38 + 4 = 666.

It is a super-2 number, since 2×450890474448384² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450890474448389) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 174071887 + ... + 176643150.

Almost surely, 2^{450890474448384} is an apocalyptic number.

It is an amenable number.

450890474448384 is an abundant number, since it is smaller than the sum of its proper divisors (938311431111744).

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

450890474448384 is an equidigital number, since it uses as much as digits as its factorization.

450890474448384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350715098 (or 350715073 counting only the distinct ones).

The product of its (nonzero) digits is 1981808640, while the sum is 72.

The spelling of 450890474448384 in words is "four hundred fifty trillion, eight hundred ninety billion, four hundred seventy-four million, four hundred forty-eight thousand, three hundred eighty-four".