454511456000 has 864 divisors, whose sum is σ = 1423121918400. Its totient is φ = 144180019200.

The previous prime is 454511455991. The next prime is 454511456027. The reversal of 454511456000 is 654115454.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7703583971 + ... + 7703584029.

It is an arithmetic number, because the mean of its divisors is an integer number (1647131850).

Almost surely, 2^454511456000 is an apocalyptic number.

454511456000 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 454511456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711560959200).

454511456000 is an abundant number, since it is smaller than the sum of its proper divisors (968610462400).

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

454511456000 is an frugal number, since it uses more digits than its factorization.

454511456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 454511456000 in words is "four hundred fifty-four billion, five hundred eleven million, four hundred fifty-six thousand".