653700480 has 256 divisors, whose sum is σ = 2210250240. Its totient is φ = 164003840.

The previous prime is 653700451. The next prime is 653700517. The reversal of 653700480 is 84007356.

653700480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4990015 + ... + 4990145.

It is an arithmetic number, because the mean of its divisors is an integer number (8633790).

Almost surely, 2^653700480 is an apocalyptic number.

653700480 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 653700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105125120).

653700480 is an abundant number, since it is smaller than the sum of its proper divisors (1556549760).

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

653700480 is a wasteful number, since it uses less digits than its factorization.

653700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 653700480 is about 25567.5669550311. The cubic root of 653700480 is about 867.8798420745.

The spelling of 653700480 in words is "six hundred fifty-three million, seven hundred thousand, four hundred eighty".