677915441 has 12 divisors (see below), whose sum is σ = 789023412. Its totient is φ = 580755168.

The previous prime is 677915411. The next prime is 677915479. The reversal of 677915441 is 144519776.

It can be written as a sum of positive squares in 2 ways, for example, as 424978225 + 252937216 = 20615^2 + 15904^2 .

It is not a de Polignac number, because 677915441 - 2⁶ = 677915377 is a prime.

It is a super-3 number, since 3×677915441³ (a number of 27 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 = 677915392 and 677915401.

It is not an unprimeable number, because it can be changed into a prime (677915401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157271 + ... + 161523.

It is an arithmetic number, because the mean of its divisors is an integer number (65751951).

Almost surely, 2^677915441 is an apocalyptic number.

It is an amenable number.

677915441 is a deficient number, since it is larger than the sum of its proper divisors (111107971).

677915441 is a wasteful number, since it uses less digits than its factorization.

677915441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520 (or 7513 counting only the distinct ones).

The product of its digits is 211680, while the sum is 44.

The square root of 677915441 is about 26036.8093475372. The cubic root of 677915441 is about 878.4664410497.

The spelling of 677915441 in words is "six hundred seventy-seven million, nine hundred fifteen thousand, four hundred forty-one".