4781440 has 64 divisors (see below), whose sum is σ = 11848320. Its totient is φ = 1843200.

The previous prime is 4781431. The next prime is 4781443. The reversal of 4781440 is 441874.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4781399 and 4781408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4781443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19720 + ... + 19960.

It is an arithmetic number, because the mean of its divisors is an integer number (185130).

Almost surely, 2^4781440 is an apocalyptic number.

4781440 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 4781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924160).

4781440 is an abundant number, since it is smaller than the sum of its proper divisors (7066880).

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

4781440 is a wasteful number, since it uses less digits than its factorization.

4781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 4781440 is about 2186.6504064436. The cubic root of 4781440 is about 168.4688340308.

The spelling of 4781440 in words is "four million, seven hundred eighty-one thousand, four hundred forty".