4861440 has 120 divisors (see below), whose sum is σ = 16916328. Its totient is φ = 1290240.

The previous prime is 4861429. The next prime is 4861471. The reversal of 4861440 is 441684.

4861440 is a `hidden beast` number, since 4 + 8 + 614 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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, 22935 + ... + 23145.

Almost surely, 2^4861440 is an apocalyptic number.

4861440 is a gapful number since it is divisible by the number (40) 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 4861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8458164).

4861440 is an abundant number, since it is smaller than the sum of its proper divisors (12054888).

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

4861440 is a wasteful number, since it uses less digits than its factorization.

4861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

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

The square root of 4861440 is about 2204.8673429483. The cubic root of 4861440 is about 169.4032130760.

The spelling of 4861440 in words is "four million, eight hundred sixty-one thousand, four hundred forty".