654787456 has 64 divisors (see below), whose sum is σ = 1375580160. Its totient is φ = 310003200.

The previous prime is 654787451. The next prime is 654787459.

654787456 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×654787456² = 857493225069903872, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654787451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184741 + ... + 188251.

It is an arithmetic number, because the mean of its divisors is an integer number (21493440).

Almost surely, 2^654787456 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 654787456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687790080).

654787456 is an abundant number, since it is smaller than the sum of its proper divisors (720792704).

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

654787456 is a wasteful number, since it uses less digits than its factorization.

654787456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3591 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 52.

The square root of 654787456 is about 25588.8150565828. The cubic root of 654787456 is about 868.3606138212.

The spelling of 654787456 in words is "six hundred fifty-four million, seven hundred eighty-seven thousand, four hundred fifty-six".