654754464 has 432 divisors, whose sum is σ = 2415565152. Its totient is φ = 166634496.

The previous prime is 654754423. The next prime is 654754481. The reversal of 654754464 is 464457456.

654754464 = 175² + 176² + ... + 1253².

654754464 is a `hidden beast` number, since 6 + 5 + 47 + 544 + 64 = 666.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 7888567 + ... + 7888649.

It is an arithmetic number, because the mean of its divisors is an integer number (5591586).

Almost surely, 2^654754464 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 654754464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207782576).

654754464 is an abundant number, since it is smaller than the sum of its proper divisors (1760810688).

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

654754464 is a wasteful number, since it uses less digits than its factorization.

654754464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The square root of 654754464 is about 25588.1703918041. The cubic root of 654754464 is about 868.3460292237.

The spelling of 654754464 in words is "six hundred fifty-four million, seven hundred fifty-four thousand, four hundred sixty-four".