4768380 has 72 divisors (see below), whose sum is σ = 14742000. Its totient is φ = 1247232.

The previous prime is 4768369. The next prime is 4768391. The reversal of 4768380 is 838674.

It is an interprime number because it is at equal distance from previous prime (4768369) and next prime (4768391).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10396 + ... + 10844.

It is an arithmetic number, because the mean of its divisors is an integer number (204750).

Almost surely, 2^4768380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7371000).

4768380 is an abundant number, since it is smaller than the sum of its proper divisors (9973620).

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

4768380 is a wasteful number, since it uses less digits than its factorization.

4768380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 518 counting only the distinct ones).

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

The square root of 4768380 is about 2183.6620617669. The cubic root of 4768380 is about 168.3153092052.

The spelling of 4768380 in words is "four million, seven hundred sixty-eight thousand, three hundred eighty".