454988000 has 96 divisors (see below), whose sum is σ = 1183841568. Its totient is φ = 171264000.

The previous prime is 454987991. The next prime is 454988057. The reversal of 454988000 is 889454.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 64655 + ... + 71345.

It is an arithmetic number, because the mean of its divisors is an integer number (12331683).

Almost surely, 2^454988000 is an apocalyptic number.

454988000 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 454988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591920784).

454988000 is an abundant number, since it is smaller than the sum of its proper divisors (728853568).

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

454988000 is a wasteful number, since it uses less digits than its factorization.

454988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6715 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 454988000 is about 21330.4477215083. The cubic root of 454988000 is about 769.1304063932.

The spelling of 454988000 in words is "four hundred fifty-four million, nine hundred eighty-eight thousand".