450345212100 has 288 divisors, whose sum is σ = 1656071504640. Its totient is φ = 102844615680.

The previous prime is 450345212089. The next prime is 450345212113. The reversal of 450345212100 is 1212543054.

450345212100 is a `hidden beast` number, since 4 + 5 + 0 + 34 + 521 + 2 + 100 = 666.

It is a super-2 number, since 2×450345212100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22537714 + ... + 22557686.

It is an arithmetic number, because the mean of its divisors is an integer number (5750248280).

Almost surely, 2^450345212100 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 450345212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828035752320).

450345212100 is an abundant number, since it is smaller than the sum of its proper divisors (1205726292540).

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

450345212100 is a wasteful number, since it uses less digits than its factorization.

450345212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21196 (or 21183 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 450345212100 its reverse (1212543054), we get a palindrome (451557755154).

The spelling of 450345212100 in words is "four hundred fifty billion, three hundred forty-five million, two hundred twelve thousand, one hundred".