654483648 has 224 divisors, whose sum is σ = 2179344384. Its totient is φ = 168726528.

The previous prime is 654483647. The next prime is 654483667. The reversal of 654483648 is 846384456.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×654483648³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 654483597 and 654483606.

It is not an unprimeable number, because it can be changed into a prime (654483647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820786 + ... + 821582.

It is an arithmetic number, because the mean of its divisors is an integer number (9729216).

Almost surely, 2^654483648 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 654483648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089672192).

654483648 is an abundant number, since it is smaller than the sum of its proper divisors (1524860736).

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

654483648 is a wasteful number, since it uses less digits than its factorization.

654483648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 869 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The square root of 654483648 is about 25582.8780241786. The cubic root of 654483648 is about 868.2262925179.

It can be divided in two parts, 65448 and 3648, that added together give a palindrome (69096).

The spelling of 654483648 in words is "six hundred fifty-four million, four hundred eighty-three thousand, six hundred forty-eight".