454479268608 has 504 divisors, whose sum is σ = 1486940144256. Its totient is φ = 137952460800.

The previous prime is 454479268601. The next prime is 454479268643. The reversal of 454479268608 is 806862974454.

454479268608 is a `hidden beast` number, since 4 + 544 + 7 + 9 + 2 + 6 + 86 + 0 + 8 = 666.

It is a super-2 number, since 2×454479268608² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (454479268601) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 98348538 + ... + 98353158.

It is an arithmetic number, because the mean of its divisors is an integer number (2950278064).

Almost surely, 2^454479268608 is an apocalyptic number.

454479268608 is a gapful number since it is divisible by the number (48) 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 454479268608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743470072128).

454479268608 is an abundant number, since it is smaller than the sum of its proper divisors (1032460875648).

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

454479268608 is an equidigital number, since it uses as much as digits as its factorization.

454479268608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 454479268608 in words is "four hundred fifty-four billion, four hundred seventy-nine million, two hundred sixty-eight thousand, six hundred eight".