450463104 has 192 divisors, whose sum is σ = 1595761440. Its totient is φ = 118775808.

The previous prime is 450463099. The next prime is 450463133. The reversal of 450463104 is 401364054.

It is a tau number, because it is divible by the number of its divisors (192).

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, 102684 + ... + 106980.

Almost surely, 2^450463104 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 450463104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797880720).

450463104 is an abundant number, since it is smaller than the sum of its proper divisors (1145298336).

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

450463104 is a wasteful number, since it uses less digits than its factorization.

450463104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337 (or 4322 counting only the distinct ones).

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

The square root of 450463104 is about 21224.1160946693. The cubic root of 450463104 is about 766.5722170562.

The spelling of 450463104 in words is "four hundred fifty million, four hundred sixty-three thousand, one hundred four".