4959416 has 64 divisors (see below), whose sum is σ = 11854080. Its totient is φ = 1889280.

The previous prime is 4959413. The next prime is 4959419. The reversal of 4959416 is 6149594.

It is an interprime number because it is at equal distance from previous prime (4959413) and next prime (4959419).

It is a super-2 number, since 2×4959416² = 49191614122112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4959416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4959413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51080 + ... + 51176.

It is an arithmetic number, because the mean of its divisors is an integer number (185220).

Almost surely, 2^4959416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4959416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927040).

4959416 is an abundant number, since it is smaller than the sum of its proper divisors (6894664).

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

4959416 is a wasteful number, since it uses less digits than its factorization.

4959416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 200 counting only the distinct ones).

The product of its digits is 38880, while the sum is 38.

The square root of 4959416 is about 2226.9746294020. The cubic root of 4959416 is about 170.5336861515.

The spelling of 4959416 in words is "four million, nine hundred fifty-nine thousand, four hundred sixteen".