454238928000 has 3072 divisors, whose sum is σ = 2140711372800. Its totient is φ = 94058496000.

The previous prime is 454238927999. The next prime is 454238928001. The reversal of 454238928000 is 829832454.

454238928000 is a `hidden beast` number, since 4 + 542 + 3 + 89 + 28 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (454238927999) and next prime (454238928001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (454238928001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10563695979 + ... + 10563696021.

It is an arithmetic number, because the mean of its divisors is an integer number (696846150).

Almost surely, 2^454238928000 is an apocalyptic number.

454238928000 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 454238928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070355686400).

454238928000 is an abundant number, since it is smaller than the sum of its proper divisors (1686472444800).

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

454238928000 is a wasteful number, since it uses less digits than its factorization.

454238928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 454238928000 in words is "four hundred fifty-four billion, two hundred thirty-eight million, nine hundred twenty-eight thousand".