454550501400 has 288 divisors, whose sum is σ = 1532697883200. Its totient is φ = 111126816000.

The previous prime is 454550501329. The next prime is 454550501441. The reversal of 454550501400 is 4105055454.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 10934655 + ... + 10976145.

It is an arithmetic number, because the mean of its divisors is an integer number (5321867650).

Almost surely, 2^454550501400 is an apocalyptic number.

454550501400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454550501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766348941600).

454550501400 is an abundant number, since it is smaller than the sum of its proper divisors (1078147381800).

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

454550501400 is a wasteful number, since it uses less digits than its factorization.

454550501400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41591 (or 41551 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 33.

Adding to 454550501400 its reverse (4105055454), we get a palindrome (458655556854).

The spelling of 454550501400 in words is "four hundred fifty-four billion, five hundred fifty million, five hundred one thousand, four hundred".