450402048 has 108 divisors (see below), whose sum is σ = 1305748080. Its totient is φ = 149311488.

The previous prime is 450402041. The next prime is 450402059. The reversal of 450402048 is 840204054.

450402048 is a `hidden beast` number, since 450 + 4 + 0 + 204 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450402041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536413 + ... + 537251.

It is an arithmetic number, because the mean of its divisors is an integer number (12090260).

Almost surely, 2^450402048 is an apocalyptic number.

450402048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450402048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652874040).

450402048 is an abundant number, since it is smaller than the sum of its proper divisors (855346032).

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

450402048 is a wasteful number, since it uses less digits than its factorization.

450402048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 450402048 is about 21222.6776821399. The cubic root of 450402048 is about 766.5375816276.

The spelling of 450402048 in words is "four hundred fifty million, four hundred two thousand, forty-eight".