450058648 has 64 divisors (see below), whose sum is σ = 925747200. Its totient is φ = 203886720.

The previous prime is 450058613. The next prime is 450058649. The reversal of 450058648 is 846850054.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 450058648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450058649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2356233 + ... + 2356423.

It is an arithmetic number, because the mean of its divisors is an integer number (14464800).

Almost surely, 2^450058648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450058648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462873600).

450058648 is an abundant number, since it is smaller than the sum of its proper divisors (475688552).

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

450058648 is a wasteful number, since it uses less digits than its factorization.

450058648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 450058648 is about 21214.5857371762. The cubic root of 450058648 is about 766.3427216997.

The spelling of 450058648 in words is "four hundred fifty million, fifty-eight thousand, six hundred forty-eight".