417921381 has 12 divisors (see below), whose sum is σ = 603863052. Its totient is φ = 278522496.

The previous prime is 417921337. The next prime is 417921389. The reversal of 417921381 is 183129714.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 220968225 + 196953156 = 14865^2 + 14034^2 .

It is not a de Polignac number, because 417921381 - 2¹⁰ = 417920357 is a prime.

It is a super-2 number, since 2×417921381² = 349316561393894322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417921389) 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, 32035 + ... + 43151.

It is an arithmetic number, because the mean of its divisors is an integer number (50321921).

Almost surely, 2^417921381 is an apocalyptic number.

It is an amenable number.

417921381 is a deficient number, since it is larger than the sum of its proper divisors (185941671).

417921381 is a wasteful number, since it uses less digits than its factorization.

417921381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15300 (or 15297 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 417921381 is about 20443.1255193525. The cubic root of 417921381 is about 747.6497575066.

The spelling of 417921381 in words is "four hundred seventeen million, nine hundred twenty-one thousand, three hundred eighty-one".