454199345600 has 1512 divisors, whose sum is σ = 1604542302720. Its totient is φ = 125179084800.

The previous prime is 454199345581. The next prime is 454199345609. The reversal of 454199345600 is 6543991454.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454199345609) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3576372737 + ... + 3576372863.

Almost surely, 2^454199345600 is an apocalyptic number.

454199345600 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 454199345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802271151360).

454199345600 is an abundant number, since it is smaller than the sum of its proper divisors (1150342957120).

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

454199345600 is a wasteful number, since it uses less digits than its factorization.

454199345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 50.

The spelling of 454199345600 in words is "four hundred fifty-four billion, one hundred ninety-nine million, three hundred forty-five thousand, six hundred".