4138464 has 48 divisors (see below), whose sum is σ = 11854080. Its totient is φ = 1253760.

The previous prime is 4138451. The next prime is 4138483. The reversal of 4138464 is 4648314.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 904 + ... + 3015.

It is an arithmetic number, because the mean of its divisors is an integer number (246960).

Almost surely, 2^4138464 is an apocalyptic number.

4138464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4138464 is an abundant number, since it is smaller than the sum of its proper divisors (7715616).

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

4138464 is a wasteful number, since it uses less digits than its factorization.

4138464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3935 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 4138464 is about 2034.3215085133. The cubic root of 4138464 is about 160.5510168659.

The spelling of 4138464 in words is "four million, one hundred thirty-eight thousand, four hundred sixty-four".