450616320 has 528 divisors, whose sum is σ = 1961975808. Its totient is φ = 92897280.

The previous prime is 450616301. The next prime is 450616337. The reversal of 450616320 is 23616054.

450616320 is a `hidden beast` number, since 45 + 0 + 616 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3548097 + ... + 3548223.

Almost surely, 2^450616320 is an apocalyptic number.

450616320 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 450616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980987904).

450616320 is an abundant number, since it is smaller than the sum of its proper divisors (1511359488).

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

450616320 is a wasteful number, since it uses less digits than its factorization.

450616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 450616320 is about 21227.7252667355. The cubic root of 450616320 is about 766.6591185982.

The spelling of 450616320 in words is "four hundred fifty million, six hundred sixteen thousand, three hundred twenty".