653241456 has 320 divisors, whose sum is σ = 2309852160. Its totient is φ = 172523520.

The previous prime is 653241427. The next prime is 653241461. The reversal of 653241456 is 654142356.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 653241456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4986511 + ... + 4986641.

It is an arithmetic number, because the mean of its divisors is an integer number (7218288).

Almost surely, 2^653241456 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 653241456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154926080).

653241456 is an abundant number, since it is smaller than the sum of its proper divisors (1656610704).

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

653241456 is a wasteful number, since it uses less digits than its factorization.

653241456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 653241456 is about 25558.5886934314. The cubic root of 653241456 is about 867.6766547477.

The spelling of 653241456 in words is "six hundred fifty-three million, two hundred forty-one thousand, four hundred fifty-six".