654489000 has 288 divisors, whose sum is σ = 2435607720. Its totient is φ = 158400000.

The previous prime is 654488983. The next prime is 654489007. The reversal of 654489000 is 984456.

It can be written as a sum of positive squares in 4 ways, for example, as 310534884 + 343954116 = 17622^2 + 18546^2 .

It is a super-2 number, since 2×654489000² = 856711702242000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654489007) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1088700 + ... + 1089300.

Almost surely, 2^654489000 is an apocalyptic number.

654489000 is a gapful number since it is divisible by the number (60) 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 654489000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217803860).

654489000 is an abundant number, since it is smaller than the sum of its proper divisors (1781118720).

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

654489000 is a wasteful number, since it uses less digits than its factorization.

654489000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 622 counting only the distinct ones).

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

The square root of 654489000 is about 25582.9826251749. The cubic root of 654489000 is about 868.2286591339.

The spelling of 654489000 in words is "six hundred fifty-four million, four hundred eighty-nine thousand".