454985856 has 384 divisors, whose sum is σ = 1567944000. Its totient is φ = 129392640.

The previous prime is 454985833. The next prime is 454985863. The reversal of 454985856 is 658589454.

454985856 is a `hidden beast` number, since 4 + 54 + 9 + 8 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11097196 + ... + 11097236.

Almost surely, 2^454985856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454985856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783972000).

454985856 is an abundant number, since it is smaller than the sum of its proper divisors (1112958144).

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

454985856 is a wasteful number, since it uses less digits than its factorization.

454985856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 78 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The square root of 454985856 is about 21330.3974646512. The cubic root of 454985856 is about 769.1291982895.

It can be divided in two parts, 454 and 985856, that added together give a triangular number (986310 = T₁₄₀₄).

The spelling of 454985856 in words is "four hundred fifty-four million, nine hundred eighty-five thousand, eight hundred fifty-six".