418640 has 20 divisors (see below), whose sum is σ = 973524. Its totient is φ = 167424.

The previous prime is 418637. The next prime is 418657. The reversal of 418640 is 46814.

It is a happy number.

418640 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 2 ways, for example, as 300304 + 118336 = 548^2 + 344^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 418640.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2537 + ... + 2696.

2⁴¹⁸⁶⁴⁰ is an apocalyptic number.

418640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

418640 is an abundant number, since it is smaller than the sum of its proper divisors (554884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

418640 is a wasteful number, since it uses less digits than its factorization.

418640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 418640 is about 647.0239562798. The cubic root of 418640 is about 74.8078041940.

The spelling of 418640 in words is "four hundred eighteen thousand, six hundred forty".