450484416 has 140 divisors (see below), whose sum is σ = 1356352888. Its totient is φ = 147806208.

The previous prime is 450484399. The next prime is 450484427. The reversal of 450484416 is 614484054.

It is a happy number.

It is a super-2 number, since 2×450484416² = 405872418117722112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 346680 + ... + 347976.

Almost surely, 2^450484416 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 450484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678176444).

450484416 is an abundant number, since it is smaller than the sum of its proper divisors (905868472).

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

450484416 is a wasteful number, since it uses less digits than its factorization.

450484416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 450484416 is about 21224.6181591095. The cubic root of 450484416 is about 766.5843060444.

The spelling of 450484416 in words is "four hundred fifty million, four hundred eighty-four thousand, four hundred sixteen".