4477440 has 160 divisors (see below), whose sum is σ = 15909696. Its totient is φ = 1064960.

The previous prime is 4477439. The next prime is 4477441. The reversal of 4477440 is 447744.

It is an interprime number because it is at equal distance from previous prime (4477439) and next prime (4477441).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4477398 and 4477407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4477441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84454 + ... + 84506.

Almost surely, 2^4477440 is an apocalyptic number.

4477440 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 4477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7954848).

4477440 is an abundant number, since it is smaller than the sum of its proper divisors (11432256).

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

4477440 is a wasteful number, since it uses less digits than its factorization.

4477440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 4477440 is about 2115.9962192783. The cubic root of 4477440 is about 164.8200057405.

It can be divided in two parts, 447 and 7440, that added together give a palindrome (7887).

The spelling of 4477440 in words is "four million, four hundred seventy-seven thousand, four hundred forty".