4117840 has 20 divisors (see below), whose sum is σ = 9574164. Its totient is φ = 1647104.

The previous prime is 4117831. The next prime is 4117843. The reversal of 4117840 is 487114.

It can be written as a sum of positive squares in 2 ways, for example, as 992016 + 3125824 = 996^2 + 1768^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4117843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25657 + ... + 25816.

Almost surely, 2^4117840 is an apocalyptic number.

4117840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4117840 is an abundant number, since it is smaller than the sum of its proper divisors (5456324).

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

4117840 is a wasteful number, since it uses less digits than its factorization.

4117840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51486 (or 51480 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 4117840 is about 2029.2461654516. The cubic root of 4117840 is about 160.2838710598.

The spelling of 4117840 in words is "four million, one hundred seventeen thousand, eight hundred forty".