4768416 has 48 divisors (see below), whose sum is σ = 13910400. Its totient is φ = 1589184.

The previous prime is 4768403. The next prime is 4768417. The reversal of 4768416 is 6148674.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4768416² = 45475582298112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4768417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1896 + ... + 3623.

It is an arithmetic number, because the mean of its divisors is an integer number (289800).

Almost surely, 2^4768416 is an apocalyptic number.

It is an amenable number.

4768416 is an abundant number, since it is smaller than the sum of its proper divisors (9141984).

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

4768416 is a wasteful number, since it uses less digits than its factorization.

4768416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5538 (or 5524 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4768416 is about 2183.6703047850. The cubic root of 4768416 is about 168.3157327828.

It can be divided in two parts, 4768 and 416, that added together give a square (5184 = 72²).

The spelling of 4768416 in words is "four million, seven hundred sixty-eight thousand, four hundred sixteen".