450707328 has 160 divisors (see below), whose sum is σ = 1388475000. Its totient is φ = 144958464.

The previous prime is 450707321. The next prime is 450707363. The reversal of 450707328 is 823707054.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 450707292 and 450707301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450707321) 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, 299923 + ... + 301421.

Almost surely, 2^450707328 is an apocalyptic number.

450707328 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 450707328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694237500).

450707328 is an abundant number, since it is smaller than the sum of its proper divisors (937767672).

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

450707328 is a wasteful number, since it uses less digits than its factorization.

450707328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 450707328 is about 21229.8687702020. The cubic root of 450707328 is about 766.7107274825.

The spelling of 450707328 in words is "four hundred fifty million, seven hundred seven thousand, three hundred twenty-eight".