4267408 has 40 divisors (see below), whose sum is σ = 9073080. Its totient is φ = 1935360.

The previous prime is 4267399. The next prime is 4267409. The reversal of 4267408 is 8047624.

4267408 is digitally balanced in base 5, 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 4 ways, for example, as 984064 + 3283344 = 992^2 + 1812^2 .

It is a hoax number, since the sum of its digits (31) 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 4267408.

It is not an unprimeable number, because it can be changed into a prime (4267409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7618 + ... + 8158.

It is an arithmetic number, because the mean of its divisors is an integer number (226827).

Almost surely, 2^4267408 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 4267408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536540).

4267408 is an abundant number, since it is smaller than the sum of its proper divisors (4805672).

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

4267408 is a wasteful number, since it uses less digits than its factorization.

4267408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 4267408 is about 2065.7705584116. The cubic root of 4267408 is about 162.2014462944.

The spelling of 4267408 in words is "four million, two hundred sixty-seven thousand, four hundred eight".