653344272 has 320 divisors, whose sum is σ = 2314137600. Its totient is φ = 172247040.

The previous prime is 653344267. The next prime is 653344309. The reversal of 653344272 is 272443356.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3649879 + ... + 3650057.

It is an arithmetic number, because the mean of its divisors is an integer number (7231680).

Almost surely, 2^653344272 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 653344272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157068800).

653344272 is an abundant number, since it is smaller than the sum of its proper divisors (1660793328).

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

653344272 is a wasteful number, since it uses less digits than its factorization.

653344272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 653344272 is about 25560.5999929579. The cubic root of 653344272 is about 867.7221745996.

It can be divided in two parts, 6533 and 44272, that added together give a palindrome (50805).

The spelling of 653344272 in words is "six hundred fifty-three million, three hundred forty-four thousand, two hundred seventy-two".