418979961 has 9 divisors (see below), whose sum is σ = 605281989. Its totient is φ = 279279036.

The previous prime is 418979959. The next prime is 418979969. The reversal of 418979961 is 169979814.

The square root of 418979961 is 20469.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 418979961 - 2¹ = 418979959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 418979898 and 418979907.

It is not an unprimeable number, because it can be changed into a prime (418979969) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57996 + ... + 64818.

Almost surely, 2^418979961 is an apocalyptic number.

418979961 is the 20469-th square number.

418979961 is the 10235-th centered octagonal number.

It is an amenable number.

418979961 is a deficient number, since it is larger than the sum of its proper divisors (186302028).

418979961 is an frugal number, since it uses more digits than its factorization.

418979961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13652 (or 6826 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The cubic root of 418979961 is about 748.2804820234.

The spelling of 418979961 in words is "four hundred eighteen million, nine hundred seventy-nine thousand, nine hundred sixty-one".