653074272 has 192 divisors, whose sum is σ = 2022451200. Its totient is φ = 204664320.

The previous prime is 653074271. The next prime is 653074319. The reversal of 653074272 is 272470356.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653074271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 990679 + ... + 991337.

It is an arithmetic number, because the mean of its divisors is an integer number (10533600).

Almost surely, 2^653074272 is an apocalyptic number.

653074272 is a gapful number since it is divisible by the number (62) 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 653074272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011225600).

653074272 is an abundant number, since it is smaller than the sum of its proper divisors (1369376928).

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

653074272 is a wasteful number, since it uses less digits than its factorization.

653074272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 653074272 is about 25555.3178810204. The cubic root of 653074272 is about 867.6026269747.

The spelling of 653074272 in words is "six hundred fifty-three million, seventy-four thousand, two hundred seventy-two".