653274720 has 480 divisors, whose sum is σ = 2780870400. Its totient is φ = 141087744.

The previous prime is 653274707. The next prime is 653274731. The reversal of 653274720 is 27472356.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723491 + ... + 1723869.

It is an arithmetic number, because the mean of its divisors is an integer number (5793480).

Almost surely, 2^653274720 is an apocalyptic number.

653274720 is a gapful number since it is divisible by the number (60) 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 653274720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390435200).

653274720 is an abundant number, since it is smaller than the sum of its proper divisors (2127595680).

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

653274720 is a wasteful number, since it uses less digits than its factorization.

653274720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 415 counting only the distinct ones).

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

The square root of 653274720 is about 25559.2394253037. The cubic root of 653274720 is about 867.6913822813.

The spelling of 653274720 in words is "six hundred fifty-three million, two hundred seventy-four thousand, seven hundred twenty".