454986000 has 480 divisors, whose sum is σ = 1907163648. Its totient is φ = 98841600.

The previous prime is 454985987. The next prime is 454986013. The reversal of 454986000 is 689454.

454986000 is a `hidden beast` number, since 4 + 5 + 49 + 8 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (454985987) and next prime (454986013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2897922 + ... + 2898078.

Almost surely, 2^454986000 is an apocalyptic number.

454986000 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 454986000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953581824).

454986000 is an abundant number, since it is smaller than the sum of its proper divisors (1452177648).

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

454986000 is a wasteful number, since it uses less digits than its factorization.

454986000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 454986000 is about 21330.4008401155. The cubic root of 454986000 is about 769.1292794309.

The spelling of 454986000 in words is "four hundred fifty-four million, nine hundred eighty-six thousand".