4641840 has 160 divisors (see below), whose sum is σ = 18332160. Its totient is φ = 1057536.

The previous prime is 4641829. The next prime is 4641841. The reversal of 4641840 is 481464.

4641840 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4641841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14967 + ... + 15273.

It is an arithmetic number, because the mean of its divisors is an integer number (114576).

Almost surely, 2^4641840 is an apocalyptic number.

4641840 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 4641840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9166080).

4641840 is an abundant number, since it is smaller than the sum of its proper divisors (13690320).

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

4641840 is a wasteful number, since it uses less digits than its factorization.

4641840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4641840 is about 2154.4929797983. The cubic root of 4641840 is about 166.8130624831.

It can be divided in two parts, 464 and 1840, that added together give a square (2304 = 48²).

The spelling of 4641840 in words is "four million, six hundred forty-one thousand, eight hundred forty".