450105414 has 64 divisors (see below), whose sum is σ = 1000484352. Its totient is φ = 133862400.

The previous prime is 450105349. The next prime is 450105419. The reversal of 450105414 is 414501054.

It is a happy number.

It is a super-2 number, since 2×450105414² = 405189767424222792, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450105419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068924 + ... + 1069344.

It is an arithmetic number, because the mean of its divisors is an integer number (15632568).

Almost surely, 2^450105414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450105414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500242176).

450105414 is an abundant number, since it is smaller than the sum of its proper divisors (550378938).

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

450105414 is a wasteful number, since it uses less digits than its factorization.

450105414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 450105414 is about 21215.6879219129. The cubic root of 450105414 is about 766.3692645681.

Adding to 450105414 its reverse (414501054), we get a palindrome (864606468).

The spelling of 450105414 in words is "four hundred fifty million, one hundred five thousand, four hundred fourteen".