654416784 has 240 divisors, whose sum is σ = 2206763520. Its totient is φ = 177085440.

The previous prime is 654416779. The next prime is 654416831. The reversal of 654416784 is 487614456.

It is a super-2 number, since 2×654416784² = 856522654361805312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1782969 + ... + 1783335.

It is an arithmetic number, because the mean of its divisors is an integer number (9194848).

Almost surely, 2^654416784 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 654416784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103381760).

654416784 is an abundant number, since it is smaller than the sum of its proper divisors (1552346736).

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

654416784 is a wasteful number, since it uses less digits than its factorization.

654416784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 469 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 654416784 is about 25581.5711792689. The cubic root of 654416784 is about 868.1967246491.

The spelling of 654416784 in words is "six hundred fifty-four million, four hundred sixteen thousand, seven hundred eighty-four".