655403040 has 288 divisors, whose sum is σ = 2429599536. Its totient is φ = 160235520.

The previous prime is 655403027. The next prime is 655403071. The reversal of 655403040 is 40304556.

655403040 is a `hidden beast` number, since 655 + 4 + 0 + 3 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 118461456 + 536941584 = 10884^2 + 23172^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 655402995 and 655403013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003354 + ... + 1004006.

Almost surely, 2^655403040 is an apocalyptic number.

655403040 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 655403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214799768).

655403040 is an abundant number, since it is smaller than the sum of its proper divisors (1774196496).

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

655403040 is a wasteful number, since it uses less digits than its factorization.

655403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 721 counting only the distinct ones).

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

The square root of 655403040 is about 25600.8406111987. The cubic root of 655403040 is about 868.6326519550.

Adding to 655403040 its reverse (40304556), we get a palindrome (695707596).

The spelling of 655403040 in words is "six hundred fifty-five million, four hundred three thousand, forty".