653028480 has 768 divisors, whose sum is σ = 2806876800. Its totient is φ = 143327232.

The previous prime is 653028451. The next prime is 653028521. The reversal of 653028480 is 84820356.

It is a super-2 number, since 2×653028480² = 852892391382220800, which contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 34369911 + ... + 34369929.

Almost surely, 2^653028480 is an apocalyptic number.

653028480 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 653028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403438400).

653028480 is an abundant number, since it is smaller than the sum of its proper divisors (2153848320).

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

653028480 is a wasteful number, since it uses less digits than its factorization.

653028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 653028480 is about 25554.4219265473. The cubic root of 653028480 is about 867.5823484296.

The spelling of 653028480 in words is "six hundred fifty-three million, twenty-eight thousand, four hundred eighty".