450627984 has 135 divisors (see below), whose sum is σ = 1327882179. Its totient is φ = 142652160.

The previous prime is 450627979. The next prime is 450628021. The reversal of 450627984 is 489726054.

It is a happy number.

The square root of 450627984 is 21228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 135210384 + 315417600 = 11628^2 + 17760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7387314 + ... + 7387374.

Almost surely, 2^450627984 is an apocalyptic number.

450627984 is the 21228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450627984

450627984 is an abundant number, since it is smaller than the sum of its proper divisors (877254195).

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

450627984 is a wasteful number, since it uses less digits than its factorization.

450627984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The cubic root of 450627984 is about 766.6657334162.

The spelling of 450627984 in words is "four hundred fifty million, six hundred twenty-seven thousand, nine hundred eighty-four".