4957840 has 40 divisors (see below), whose sum is σ = 11930040. Its totient is φ = 1913856.

The previous prime is 4957837. The next prime is 4957847. The reversal of 4957840 is 487594.

It can be written as a sum of positive squares in 4 ways, for example, as 11664 + 4946176 = 108^2 + 2224^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4957840.

It is not an unprimeable number, because it can be changed into a prime (4957847) 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, 1252 + ... + 3388.

It is an arithmetic number, because the mean of its divisors is an integer number (298251).

Almost surely, 2^4957840 is an apocalyptic number.

4957840 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 4957840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965020).

4957840 is an abundant number, since it is smaller than the sum of its proper divisors (6972200).

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

4957840 is a wasteful number, since it uses less digits than its factorization.

4957840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 4957840 is about 2226.6207580098. The cubic root of 4957840 is about 170.5156202096.

The spelling of 4957840 in words is "four million, nine hundred fifty-seven thousand, eight hundred forty".