450508032 has 216 divisors, whose sum is σ = 1422930600. Its totient is φ = 137060352.

The previous prime is 450508021. The next prime is 450508043. The reversal of 450508032 is 230805054.

It is an interprime number because it is at equal distance from previous prime (450508021) and next prime (450508043).

It can be written as a sum of positive squares in 4 ways, for example, as 210134016 + 240374016 = 14496^2 + 15504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 450507987 and 450508005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5061844 + ... + 5061932.

Almost surely, 2^450508032 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 450508032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711465300).

450508032 is an abundant number, since it is smaller than the sum of its proper divisors (972422568).

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

450508032 is an equidigital number, since it uses as much as digits as its factorization.

450508032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 450508032 is about 21225.1744869153. The cubic root of 450508032 is about 766.5977015049.

It can be divided in two parts, 450 and 508032, that multiplied together give a square (228614400 = 15120²).

The spelling of 450508032 in words is "four hundred fifty million, five hundred eight thousand, thirty-two".