4680408 has 64 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 1457280.

The previous prime is 4680407. The next prime is 4680409. The reversal of 4680408 is 8040864.

It is an interprime number because it is at equal distance from previous prime (4680407) and next prime (4680409).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4680407) 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, 33603 + ... + 33741.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

Almost surely, 2^4680408 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 4680408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

4680408 is an abundant number, since it is smaller than the sum of its proper divisors (7818792).

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

4680408 is a wasteful number, since it uses less digits than its factorization.

4680408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4680408 is about 2163.4250622566. The cubic root of 4680408 is about 167.2737928127.

The spelling of 4680408 in words is "four million, six hundred eighty thousand, four hundred eight".