450120832 has 128 divisors (see below), whose sum is σ = 1123632000. Its totient is φ = 175128576.

The previous prime is 450120809. The next prime is 450120857. The reversal of 450120832 is 238021054.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 450120797 and 450120806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441219 + ... + 442237.

It is an arithmetic number, because the mean of its divisors is an integer number (8778375).

Almost surely, 2^450120832 is an apocalyptic number.

450120832 is the 17323-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561816000).

450120832 is an abundant number, since it is smaller than the sum of its proper divisors (673511168).

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

450120832 is a wasteful number, since it uses less digits than its factorization.

450120832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 450120832 is about 21216.0512819893. The cubic root of 450120832 is about 766.3780149231.

Adding to 450120832 its reverse (238021054), we get a palindrome (688141886).

The spelling of 450120832 in words is "four hundred fifty million, one hundred twenty thousand, eight hundred thirty-two".