450974016 has 42 divisors (see below), whose sum is σ = 1292637242. Its totient is φ = 150324480.

The previous prime is 450973973. The next prime is 450974021. The reversal of 450974016 is 610479054.

It can be written as a sum of positive squares in only one way, i.e., 388247616 + 62726400 = 19704^2 + 7920^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 390895 + ... + 392046.

Almost surely, 2^450974016 is an apocalyptic number.

It is an amenable number.

450974016 is an abundant number, since it is smaller than the sum of its proper divisors (841663226).

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

450974016 is a wasteful number, since it uses less digits than its factorization.

450974016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782959 (or 782946 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 450974016 is about 21236.1488033965. The cubic root of 450974016 is about 766.8619211149.

The spelling of 450974016 in words is "four hundred fifty million, nine hundred seventy-four thousand, sixteen".