4090464 has 72 divisors (see below), whose sum is σ = 13300560. Its totient is φ = 1168128.

The previous prime is 4090451. The next prime is 4090507. The reversal of 4090464 is 4640904.

4090464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1002 + ... + 3030.

It is an arithmetic number, because the mean of its divisors is an integer number (184730).

Almost surely, 2^4090464 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 4090464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6650280).

4090464 is an abundant number, since it is smaller than the sum of its proper divisors (9210096).

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

4090464 is a wasteful number, since it uses less digits than its factorization.

4090464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4090464 is about 2022.4895549792. The cubic root of 4090464 is about 159.9278841672.

It can be divided in two parts, 4090 and 464, that added together give a palindrome (4554).

The spelling of 4090464 in words is "four million, ninety thousand, four hundred sixty-four".