454050104200 has 288 divisors, whose sum is σ = 1329499281600. Its totient is φ = 141162278400.

The previous prime is 454050104197. The next prime is 454050104213. The reversal of 454050104200 is 2401050454.

It is a happy number.

It is a super-2 number, since 2×454050104200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70975402 + ... + 70981798.

It is an arithmetic number, because the mean of its divisors is an integer number (4616316950).

Almost surely, 2^454050104200 is an apocalyptic number.

454050104200 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 454050104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664749640800).

454050104200 is an abundant number, since it is smaller than the sum of its proper divisors (875449177400).

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

454050104200 is a wasteful number, since it uses less digits than its factorization.

454050104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6861 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 454050104200 its reverse (2401050454), we get a palindrome (456451154654).

The spelling of 454050104200 in words is "four hundred fifty-four billion, fifty million, one hundred four thousand, two hundred".