450226304100 has 144 divisors (see below), whose sum is σ = 1510324583040. Its totient is φ = 114840316800.

The previous prime is 450226304081. The next prime is 450226304117. The reversal of 450226304100 is 1403622054.

450226304100 is a `hidden beast` number, since 4 + 5 + 0 + 22 + 630 + 4 + 1 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3562911 + ... + 3687110.

It is an arithmetic number, because the mean of its divisors is an integer number (10488365160).

Almost surely, 2^450226304100 is an apocalyptic number.

It is an amenable number.

450226304100 is an abundant number, since it is smaller than the sum of its proper divisors (1060098278940).

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

450226304100 is a wasteful number, since it uses less digits than its factorization.

450226304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7250067 (or 7250054 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 450226304100 its reverse (1403622054), we get a palindrome (451629926154).

The spelling of 450226304100 in words is "four hundred fifty billion, two hundred twenty-six million, three hundred four thousand, one hundred".