450616752 has 60 divisors (see below), whose sum is σ = 1273628304. Its totient is φ = 148713600.

The previous prime is 450616729. The next prime is 450616757. The reversal of 450616752 is 257616054.

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 (450616757) 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, 948 + ... + 30035.

Almost surely, 2^450616752 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 450616752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636814152).

450616752 is an abundant number, since it is smaller than the sum of its proper divisors (823011552).

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

450616752 is a wasteful number, since it uses less digits than its factorization.

450616752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31098 (or 31089 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 450616752 is about 21227.7354421050. The cubic root of 450616752 is about 766.6593635935.

The spelling of 450616752 in words is "four hundred fifty million, six hundred sixteen thousand, seven hundred fifty-two".