454891680 has 192 divisors, whose sum is σ = 1647475200. Its totient is φ = 117089280.

The previous prime is 454891667. The next prime is 454891681. The reversal of 454891680 is 86198454.

454891680 is a `hidden beast` number, since 4 + 5 + 489 + 168 + 0 = 666.

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 (454891681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123465 + ... + 127095.

It is an arithmetic number, because the mean of its divisors is an integer number (8580600).

Almost surely, 2^454891680 is an apocalyptic number.

454891680 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 454891680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823737600).

454891680 is an abundant number, since it is smaller than the sum of its proper divisors (1192583520).

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

454891680 is a wasteful number, since it uses less digits than its factorization.

454891680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 454891680 is about 21328.1897966049. The cubic root of 454891680 is about 769.0761281346.

The spelling of 454891680 in words is "four hundred fifty-four million, eight hundred ninety-one thousand, six hundred eighty".