4801440 has 96 divisors (see below), whose sum is σ = 17297280. Its totient is φ = 1096704.

The previous prime is 4801409. The next prime is 4801441. The reversal of 4801440 is 441084.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

4801440 is a modest number, since divided by 1440 gives 480 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4801441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2646 + ... + 4074.

It is an arithmetic number, because the mean of its divisors is an integer number (180180).

Almost surely, 2^4801440 is an apocalyptic number.

4801440 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 4801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648640).

4801440 is an abundant number, since it is smaller than the sum of its proper divisors (12495840).

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

4801440 is a wasteful number, since it uses less digits than its factorization.

4801440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4801440 is about 2191.2188389113. The cubic root of 4801440 is about 168.7034000271.

The spelling of 4801440 in words is "four million, eight hundred one thousand, four hundred forty".