653480 has 48 divisors (see below), whose sum is σ = 1608660. Its totient is φ = 238080.

The previous prime is 653473. The next prime is 653491. The reversal of 653480 is 84356.

653480 = 188² + 189² + ... + 204².

653480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 649636 + 3844 = 806^2 + 62^2 .

It is a super-2 number, since 2×653480² = 854072220800, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653480.

It is an unprimeable number.

653480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21065 + ... + 21095.

2⁶⁵³⁴⁸⁰ 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 653480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804330).

653480 is an abundant number, since it is smaller than the sum of its proper divisors (955180).

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

653480 is a wasteful number, since it uses less digits than its factorization.

653480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 653480 is about 808.3810982451. The cubic root of 653480 is about 86.7782258308.

The spelling of 653480 in words is "six hundred fifty-three thousand, four hundred eighty".