653500440 has 128 divisors (see below), whose sum is σ = 2293056000. Its totient is φ = 165089664.

The previous prime is 653500439. The next prime is 653500447. The reversal of 653500440 is 44005356.

653500440 is a `hidden beast` number, since 653 + 5 + 0 + 0 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653500447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4597 + ... + 36443.

It is an arithmetic number, because the mean of its divisors is an integer number (17914500).

Almost surely, 2^653500440 is an apocalyptic number.

653500440 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 653500440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146528000).

653500440 is an abundant number, since it is smaller than the sum of its proper divisors (1639555560).

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

653500440 is a wasteful number, since it uses less digits than its factorization.

653500440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31886 (or 31876 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 653500440 is about 25563.6546682981. The cubic root of 653500440 is about 867.7913059121.

Adding to 653500440 its reverse (44005356), we get a palindrome (697505796).

The spelling of 653500440 in words is "six hundred fifty-three million, five hundred thousand, four hundred forty".