416458587138489 has 81 divisors (see below), whose sum is σ = 709810250548581. Its totient is φ = 234607413988080.

The previous prime is 416458587138467. The next prime is 416458587138521. The reversal of 416458587138489 is 984831785854614.

The square root of 416458587138489 is 20407317.

It is a perfect power (a square), and thus also a powerful number.

416458587138489 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 5 + 85 + 87 + 1 + 384 + 89 = 666.

It is not a de Polignac number, because 416458587138489 - 2⁷ = 416458587138361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416458587138409) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30427302804 + ... + 30427316490.

Almost surely, 2^{416458587138489} is an apocalyptic number.

416458587138489 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

416458587138489 is the 20407317-th square number.

416458587138489 is the 10203659-th centered octagonal number.

It is an amenable number.

416458587138489 is a deficient number, since it is larger than the sum of its proper divisors (293351663410092).

416458587138489 is an frugal number, since it uses more digits than its factorization.

416458587138489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27536 (or 13768 counting only the distinct ones).

The product of its digits is 7431782400, while the sum is 81.

The spelling of 416458587138489 in words is "four hundred sixteen trillion, four hundred fifty-eight billion, five hundred eighty-seven million, one hundred thirty-eight thousand, four hundred eighty-nine".