450334080 has 640 divisors, whose sum is σ = 1972745280. Its totient is φ = 95551488.

The previous prime is 450334033. The next prime is 450334121. The reversal of 450334080 is 80433054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6168924 + ... + 6168996.

Almost surely, 2^450334080 is an apocalyptic number.

450334080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986372640).

450334080 is an abundant number, since it is smaller than the sum of its proper divisors (1522411200).

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

450334080 is a wasteful number, since it uses less digits than its factorization.

450334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

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

The square root of 450334080 is about 21221.0763157763. The cubic root of 450334080 is about 766.4990215252.

It can be divided in two parts, 4503 and 34080, that added together give a palindrome (38583).

The spelling of 450334080 in words is "four hundred fifty million, three hundred thirty-four thousand, eighty".