450405107100 has 216 divisors, whose sum is σ = 1525176132480. Its totient is φ = 110518295040.

The previous prime is 450405107099. The next prime is 450405107101. The reversal of 450405107100 is 1701504054.

It is a happy number.

450405107100 is a `hidden beast` number, since 4 + 5 + 0 + 40 + 510 + 7 + 100 = 666.

450405107100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (450405107099) and next prime (450405107101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450405107101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3648181 + ... + 3769619.

Almost surely, 2^450405107100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450405107100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762588066240).

450405107100 is an abundant number, since it is smaller than the sum of its proper divisors (1074771025380).

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

450405107100 is a wasteful number, since it uses less digits than its factorization.

450405107100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121789 (or 121779 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 450405107100 in words is "four hundred fifty billion, four hundred five million, one hundred seven thousand, one hundred".