450126336 has 80 divisors (see below), whose sum is σ = 1308228768. Its totient is φ = 136396800.

The previous prime is 450126317. The next prime is 450126361. The reversal of 450126336 is 633621054.

It is a super-2 number, since 2×450126336² = 405227436721569792, which contains 22 as substring.

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, 3576 + ... + 30216.

Almost surely, 2^450126336 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 450126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654114384).

450126336 is an abundant number, since it is smaller than the sum of its proper divisors (858102432).

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

450126336 is a wasteful number, since it uses less digits than its factorization.

450126336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26673 (or 26657 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 450126336 is about 21216.1809947031. The cubic root of 450126336 is about 766.3811386231.

The spelling of 450126336 in words is "four hundred fifty million, one hundred twenty-six thousand, three hundred thirty-six".