7905488461 has 8 divisors (see below), whose sum is σ = 9014403384. Its totient is φ = 6868116480.

The previous prime is 7905488443. The next prime is 7905488473. The reversal of 7905488461 is 1648845097.

It can be written as a sum of positive squares in 4 ways, for example, as 894608100 + 7010880361 = 29910^2 + 83731^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7905488461 - 2²³ = 7897099853 is a prime.

It is a super-3 number, since 3×7905488461³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7905488399 and 7905488408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7905488161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17885500 + ... + 17885941.

It is an arithmetic number, because the mean of its divisors is an integer number (1126800423).

Almost surely, 2^7905488461 is an apocalyptic number.

It is an amenable number.

7905488461 is a deficient number, since it is larger than the sum of its proper divisors (1108914923).

7905488461 is a wasteful number, since it uses less digits than its factorization.

7905488461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35771471.

The product of its (nonzero) digits is 1935360, while the sum is 52.

The square root of 7905488461 is about 88912.8138178069. The cubic root of 7905488461 is about 1992.0928178506.

The spelling of 7905488461 in words is "seven billion, nine hundred five million, four hundred eighty-eight thousand, four hundred sixty-one".