454080769800 has 384 divisors, whose sum is σ = 1637509478400. Its totient is φ = 101945088000.

The previous prime is 454080769787. The next prime is 454080769801. The reversal of 454080769800 is 8967080454.

It is not an unprimeable number, because it can be changed into a prime (454080769801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83791491 + ... + 83796909.

It is an arithmetic number, because the mean of its divisors is an integer number (4264347600).

Almost surely, 2^454080769800 is an apocalyptic number.

454080769800 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 454080769800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818754739200).

454080769800 is an abundant number, since it is smaller than the sum of its proper divisors (1183428708600).

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

454080769800 is a wasteful number, since it uses less digits than its factorization.

454080769800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 454080769800 in words is "four hundred fifty-four billion, eighty million, seven hundred sixty-nine thousand, eight hundred".