4657408 has 72 divisors (see below), whose sum is σ = 11184768. Its totient is φ = 1892352.

The previous prime is 4657397. The next prime is 4657417. The reversal of 4657408 is 8047564.

It is a super-3 number, since 3×4657408³ (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41160 + ... + 41272.

It is an arithmetic number, because the mean of its divisors is an integer number (155344).

Almost surely, 2^4657408 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 4657408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592384).

4657408 is an abundant number, since it is smaller than the sum of its proper divisors (6527360).

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

4657408 is a wasteful number, since it uses less digits than its factorization.

4657408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 4657408 is about 2158.1028705787. The cubic root of 4657408 is about 166.9993426295. Note that the first 3 decimals are identical.

The spelling of 4657408 in words is "four million, six hundred fifty-seven thousand, four hundred eight".