4415904 has 96 divisors (see below), whose sum is σ = 13608000. Its totient is φ = 1389312.

The previous prime is 4415899. The next prime is 4415909. The reversal of 4415904 is 4095144.

It is an interprime number because it is at equal distance from previous prime (4415899) and next prime (4415909).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×4415904³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4415909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16282 + ... + 16550.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

Almost surely, 2^4415904 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 4415904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804000).

4415904 is an abundant number, since it is smaller than the sum of its proper divisors (9192096).

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

4415904 is a wasteful number, since it uses less digits than its factorization.

4415904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4415904 is about 2101.4052441164. The cubic root of 4415904 is about 164.0614483198.

The spelling of 4415904 in words is "four million, four hundred fifteen thousand, nine hundred four".