4461408 has 72 divisors (see below), whose sum is σ = 14506128. Its totient is φ = 1274112.

The previous prime is 4461377. The next prime is 4461419. The reversal of 4461408 is 8041644.

4461408 is a `hidden beast` number, since 44 + 614 + 0 + 8 = 666.

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

It is a super-2 number, since 2×4461408² = 39808322684928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 910 + ... + 3122.

It is an arithmetic number, because the mean of its divisors is an integer number (201474).

Almost surely, 2^4461408 is an apocalyptic number.

4461408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4461408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7253064).

4461408 is an abundant number, since it is smaller than the sum of its proper divisors (10044720).

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

4461408 is a wasteful number, since it uses less digits than its factorization.

4461408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4461408 is about 2112.2045355505. The cubic root of 4461408 is about 164.6230513483.

The spelling of 4461408 in words is "four million, four hundred sixty-one thousand, four hundred eight".