450232516608 has 544 divisors, whose sum is σ = 1447929802752. Its totient is φ = 121739673600.

The previous prime is 450232516571. The next prime is 450232516619. The reversal of 450232516608 is 806615232054.

It is a super-2 number, since 2×450232516608² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 450232516608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2602500010 + ... + 2602500182.

Almost surely, 2^450232516608 is an apocalyptic number.

450232516608 is a gapful number since it is divisible by the number (48) 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 450232516608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723964901376).

450232516608 is an abundant number, since it is smaller than the sum of its proper divisors (997697286144).

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

450232516608 is an equidigital number, since it uses as much as digits as its factorization.

450232516608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 450232516608 in words is "four hundred fifty billion, two hundred thirty-two million, five hundred sixteen thousand, six hundred eight".