450425435024100 has 288 divisors, whose sum is σ = 1337697375638400. Its totient is φ = 116948688076800.

The previous prime is 450425435024051. The next prime is 450425435024111. The reversal of 450425435024100 is 1420534524054.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52749197631 + ... + 52749206169.

It is an arithmetic number, because the mean of its divisors is an integer number (4644782554300).

Almost surely, 2^{450425435024100} 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 450425435024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668848687819200).

450425435024100 is an abundant number, since it is smaller than the sum of its proper divisors (887271940614300).

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

450425435024100 is a wasteful number, since it uses less digits than its factorization.

450425435024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16703 (or 16696 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

Adding to 450425435024100 its reverse (1420534524054), we get a palindrome (451845969548154).

The spelling of 450425435024100 in words is "four hundred fifty trillion, four hundred twenty-five billion, four hundred thirty-five million, twenty-four thousand, one hundred".