450832752 has 120 divisors (see below), whose sum is σ = 1359341568. Its totient is φ = 139075200.

The previous prime is 450832663. The next prime is 450832757. The reversal of 450832752 is 257238054.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450832757) 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, 100477 + ... + 104867.

Almost surely, 2^450832752 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 450832752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679670784).

450832752 is an abundant number, since it is smaller than the sum of its proper divisors (908508816).

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

450832752 is a wasteful number, since it uses less digits than its factorization.

450832752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4459 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 450832752 is about 21232.8225160952. The cubic root of 450832752 is about 766.7818416338.

It can be divided in two parts, 450832 and 752, that added together give a square (451584 = 672²).

The spelling of 450832752 in words is "four hundred fifty million, eight hundred thirty-two thousand, seven hundred fifty-two".