450340416 has 84 divisors (see below), whose sum is σ = 1303768284. Its totient is φ = 148608000.

The previous prime is 450340409. The next prime is 450340453. The reversal of 450340416 is 614043054.

It can be written as a sum of positive squares in 2 ways, for example, as 285474816 + 164865600 = 16896^2 + 12840^2 .

It is a super-3 number, since 3×450340416³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 450340416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54306 + ... + 62046.

It is an arithmetic number, because the mean of its divisors is an integer number (15521051).

Almost surely, 2^450340416 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 450340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651884142).

450340416 is an abundant number, since it is smaller than the sum of its proper divisors (853427868).

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

450340416 is a wasteful number, since it uses less digits than its factorization.

450340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7860 (or 7847 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 450340416 is about 21221.2256007988. The cubic root of 450340416 is about 766.5026162750.

The spelling of 450340416 in words is "four hundred fifty million, three hundred forty thousand, four hundred sixteen".