450838464 has 56 divisors (see below), whose sum is σ = 1207983360. Its totient is φ = 148372224.

The previous prime is 450838463. The next prime is 450838471. The reversal of 450838464 is 464838054.

It is a super-4 number, since 4×450838464⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450838463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307 + ... + 30029.

Almost surely, 2^450838464 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 450838464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603991680).

450838464 is an abundant number, since it is smaller than the sum of its proper divisors (757144896).

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

450838464 is a wasteful number, since it uses less digits than its factorization.

450838464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29817 (or 29807 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 450838464 is about 21232.9570243996. The cubic root of 450838464 is about 766.7850799665.

The spelling of 450838464 in words is "four hundred fifty million, eight hundred thirty-eight thousand, four hundred sixty-four".