4601440 has 24 divisors (see below), whose sum is σ = 10871280. Its totient is φ = 1840512.

The previous prime is 4601417. The next prime is 4601447. The reversal of 4601440 is 441064.

4601440 = 236² + 237² + ... + 299².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4601447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14220 + ... + 14539.

It is an arithmetic number, because the mean of its divisors is an integer number (452970).

Almost surely, 2^4601440 is an apocalyptic number.

4601440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4601440 is an abundant number, since it is smaller than the sum of its proper divisors (6269840).

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

4601440 is a wasteful number, since it uses less digits than its factorization.

4601440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28774 (or 28766 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4601440 is about 2145.0967344155. The cubic root of 4601440 is about 166.3277021970.

It can be divided in two parts, 4601 and 440, that added together give a square (5041 = 71²).

The spelling of 4601440 in words is "four million, six hundred one thousand, four hundred forty".