4768240 has 40 divisors (see below), whose sum is σ = 11673360. Its totient is φ = 1806336.

The previous prime is 4768237. The next prime is 4768243. The reversal of 4768240 is 428674.

It is an interprime number because it is at equal distance from previous prime (4768237) and next prime (4768243).

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

It is a super-2 number, since 2×4768240² = 45472225395200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768243) 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, 49 + ... + 3088.

It is an arithmetic number, because the mean of its divisors is an integer number (291834).

Almost surely, 2^4768240 is an apocalyptic number.

4768240 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 4768240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836680).

4768240 is an abundant number, since it is smaller than the sum of its proper divisors (6905120).

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

4768240 is a wasteful number, since it uses less digits than its factorization.

4768240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 4768240 is about 2183.6300052894. The cubic root of 4768240 is about 168.3136619390.

The spelling of 4768240 in words is "four million, seven hundred sixty-eight thousand, two hundred forty".