4042464 has 48 divisors (see below), whose sum is σ = 11240208. Its totient is φ = 1267712.

The previous prime is 4042463. The next prime is 4042471. The reversal of 4042464 is 4642404.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394 + ... + 2870.

It is an arithmetic number, because the mean of its divisors is an integer number (234171).

Almost surely, 2^4042464 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 4042464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620104).

4042464 is an abundant number, since it is smaller than the sum of its proper divisors (7197744).

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

4042464 is a wasteful number, since it uses less digits than its factorization.

4042464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4042464 is about 2010.5879737032. The cubic root of 4042464 is about 159.2998573876.

Adding to 4042464 its reverse (4642404), we get a palindrome (8684868).

The spelling of 4042464 in words is "four million, forty-two thousand, four hundred sixty-four".