450058752 has 240 divisors, whose sum is σ = 1528214688. Its totient is φ = 125706240.

The previous prime is 450058751. The next prime is 450058781. The reversal of 450058752 is 257850054.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (450058751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658603 + ... + 659285.

Almost surely, 2^450058752 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 450058752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764107344).

450058752 is an abundant number, since it is smaller than the sum of its proper divisors (1078155936).

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

450058752 is a wasteful number, since it uses less digits than its factorization.

450058752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 450058752 is about 21214.5881883198. The cubic root of 450058752 is about 766.3427807288.

The spelling of 450058752 in words is "four hundred fifty million, fifty-eight thousand, seven hundred fifty-two".