4661440 has 56 divisors (see below), whose sum is σ = 12691872. Its totient is φ = 1597440.

The previous prime is 4661429. The next prime is 4661443. The reversal of 4661440 is 441664.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1200 + ... + 3280.

Almost surely, 2^4661440 is an apocalyptic number.

4661440 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 4661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345936).

4661440 is an abundant number, since it is smaller than the sum of its proper divisors (8030432).

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

4661440 is a wasteful number, since it uses less digits than its factorization.

4661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4661440 is about 2159.0368222891. The cubic root of 4661440 is about 167.0475201519.

The spelling of 4661440 in words is "four million, six hundred sixty-one thousand, four hundred forty".