418948 has 24 divisors (see below), whose sum is σ = 796824. Its totient is φ = 192000.

The previous prime is 418939. The next prime is 418961. The reversal of 418948 is 849814.

418948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 107584 + 311364 = 328^2 + 558^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

418948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4098 + ... + 4198.

It is an arithmetic number, because the mean of its divisors is an integer number (33201).

2⁴¹⁸⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

418948 is a deficient number, since it is larger than the sum of its proper divisors (377876).

418948 is a wasteful number, since it uses less digits than its factorization.

418948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 418948 is about 647.2619253440. The cubic root of 418948 is about 74.8261454542.

The spelling of 418948 in words is "four hundred eighteen thousand, nine hundred forty-eight".