455481000 has 384 divisors, whose sum is σ = 1763143200. Its totient is φ = 105062400.

The previous prime is 455480981. The next prime is 455481031. The reversal of 455481000 is 184554.

455481000 is a `hidden beast` number, since 4 + 554 + 8 + 100 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 36 + 455480964 = 6^2 + 21342^2 .

It is a super-2 number, since 2×455481000² = 414925882722000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1988886 + ... + 1989114.

Almost surely, 2^455481000 is an apocalyptic number.

455481000 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 455481000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881571600).

455481000 is an abundant number, since it is smaller than the sum of its proper divisors (1307662200).

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

455481000 is a wasteful number, since it uses less digits than its factorization.

455481000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 455481000 is about 21342.0008434073. Note that the first 3 decimals coincide. The cubic root of 455481000 is about 769.4081019364.

The spelling of 455481000 in words is "four hundred fifty-five million, four hundred eighty-one thousand".