450935818080 has 192 divisors, whose sum is σ = 1564063458048. Its totient is φ = 108295976960.

The previous prime is 450935818079. The next prime is 450935818117. The reversal of 450935818080 is 80818539054.

It is a super-2 number, since 2×450935818080² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 165874 + ... + 964046.

It is an arithmetic number, because the mean of its divisors is an integer number (8146163844).

Almost surely, 2^450935818080 is an apocalyptic number.

450935818080 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 450935818080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782031729024).

450935818080 is an abundant number, since it is smaller than the sum of its proper divisors (1113127639968).

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

450935818080 is a wasteful number, since it uses less digits than its factorization.

450935818080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798309 (or 798301 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 450935818080 in words is "four hundred fifty billion, nine hundred thirty-five million, eight hundred eighteen thousand, eighty".