415598961461 has 32 divisors (see below), whose sum is σ = 452951009280. Its totient is φ = 379795578624.

The previous prime is 415598961443. The next prime is 415598961487. The reversal of 415598961461 is 164169895514.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 415598961461 - 2³⁴ = 398419092277 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 415598961461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415598961761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95780030 + ... + 95784368.

It is an arithmetic number, because the mean of its divisors is an integer number (14154719040).

Almost surely, 2^415598961461 is an apocalyptic number.

It is an amenable number.

415598961461 is a deficient number, since it is larger than the sum of its proper divisors (37352047819).

415598961461 is a wasteful number, since it uses less digits than its factorization.

415598961461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145.

The product of its digits is 9331200, while the sum is 59.

The spelling of 415598961461 in words is "four hundred fifteen billion, five hundred ninety-eight million, nine hundred sixty-one thousand, four hundred sixty-one".