450417976320 has 704 divisors, whose sum is σ = 1643437716480. Its totient is φ = 104374075392.

The previous prime is 450417976273. The next prime is 450417976331. The reversal of 450417976320 is 23679714054.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 450417976320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 861219579 + ... + 861220101.

Almost surely, 2^450417976320 is an apocalyptic number.

450417976320 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 450417976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821718858240).

450417976320 is an abundant number, since it is smaller than the sum of its proper divisors (1193019740160).

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

450417976320 is a wasteful number, since it uses less digits than its factorization.

450417976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 450417976320 in words is "four hundred fifty billion, four hundred seventeen million, nine hundred seventy-six thousand, three hundred twenty".