4008464 has 20 divisors (see below), whose sum is σ = 8223804. Its totient is φ = 1886208.

The previous prime is 4008461. The next prime is 4008523. The reversal of 4008464 is 4648004.

It can be written as a sum of positive squares in 2 ways, for example, as 3268864 + 739600 = 1808^2 + 860^2 .

It is not an unprimeable number, because it can be changed into a prime (4008461) 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, 7097 + ... + 7640.

Almost surely, 2^4008464 is an apocalyptic number.

It is an amenable number.

4008464 is an abundant number, since it is smaller than the sum of its proper divisors (4215340).

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

4008464 is a wasteful number, since it uses less digits than its factorization.

4008464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14762 (or 14756 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 4008464 is about 2002.1148818187. The cubic root of 4008464 is about 158.8519910046.

It can be divided in two parts, 400 and 8464, that multiplied together give a square (3385600 = 1840²).

The spelling of 4008464 in words is "four million, eight thousand, four hundred sixty-four".