450121984 has 72 divisors (see below), whose sum is σ = 999041792. Its totient is φ = 201000960.

The previous prime is 450121967. The next prime is 450121993. The reversal of 450121984 is 489121054.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100987 + ... + 105349.

Almost surely, 2^450121984 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 450121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499520896).

450121984 is an abundant number, since it is smaller than the sum of its proper divisors (548919808).

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

450121984 is a wasteful number, since it uses less digits than its factorization.

450121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 450121984 is about 21216.0784312276. The cubic root of 450121984 is about 766.3786687229.

The spelling of 450121984 in words is "four hundred fifty million, one hundred twenty-one thousand, nine hundred eighty-four".