653058468 has 54 divisors (see below), whose sum is σ = 1749585474. Its totient is φ = 204682752.

The previous prime is 653058463. The next prime is 653058487. The reversal of 653058468 is 864850356.

653058468 is a `hidden beast` number, since 6 + 5 + 3 + 0 + 584 + 68 = 666.

653058468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 538611264 + 114447204 = 23208^2 + 10698^2 .

It is not an unprimeable number, because it can be changed into a prime (653058463) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 631680 + ... + 632712.

It is an arithmetic number, because the mean of its divisors is an integer number (32399731).

Almost surely, 2^653058468 is an apocalyptic number.

653058468 is a gapful number since it is divisible by the number (68) 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 653058468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874792737).

653058468 is an abundant number, since it is smaller than the sum of its proper divisors (1096527006).

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

653058468 is a wasteful number, since it uses less digits than its factorization.

653058468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 653058468 is about 25555.0086675783. The cubic root of 653058468 is about 867.5956284330.

The spelling of 653058468 in words is "six hundred fifty-three million, fifty-eight thousand, four hundred sixty-eight".