450577310000 has 100 divisors (see below), whose sum is σ = 1093940139600. Its totient is φ = 179727456000.

The previous prime is 450577309991. The next prime is 450577310003. The reversal of 450577310000 is 13775054.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×450577310000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (450577310003) 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, 3527246 + ... + 3652754.

It is an arithmetic number, because the mean of its divisors is an integer number (10939401396).

Almost surely, 2^450577310000 is an apocalyptic number.

450577310000 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 450577310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546970069800).

450577310000 is an abundant number, since it is smaller than the sum of its proper divisors (643362829600).

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

450577310000 is a wasteful number, since it uses less digits than its factorization.

450577310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125896 (or 125875 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The spelling of 450577310000 in words is "four hundred fifty billion, five hundred seventy-seven million, three hundred ten thousand".