450567360 has 140 divisors (see below), whose sum is σ = 1602839568. Its totient is φ = 120144384.

The previous prime is 450567353. The next prime is 450567367. The reversal of 450567360 is 63765054.

It is an interprime number because it is at equal distance from previous prime (450567353) and next prime (450567367).

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

It is not an unprimeable number, because it can be changed into a prime (450567367) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17229 + ... + 34611.

Almost surely, 2^450567360 is an apocalyptic number.

450567360 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 450567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801419784).

450567360 is an abundant number, since it is smaller than the sum of its proper divisors (1152272208).

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

450567360 is a wasteful number, since it uses less digits than its factorization.

450567360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17412 (or 17393 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 450567360 is about 21226.5720265897. The cubic root of 450567360 is about 766.6313514504.

The spelling of 450567360 in words is "four hundred fifty million, five hundred sixty-seven thousand, three hundred sixty".