4758960 has 80 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 1248000.

The previous prime is 4758959. The next prime is 4758961. The reversal of 4758960 is 698574.

It is an interprime number because it is at equal distance from previous prime (4758959) and next prime (4758961).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×4758960³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4758961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18835 + ... + 19085.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 2^4758960 is an apocalyptic number.

4758960 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 4758960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

4758960 is an abundant number, since it is smaller than the sum of its proper divisors (10240080).

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

4758960 is a wasteful number, since it uses less digits than its factorization.

4758960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 4758960 is about 2181.5040682978. The cubic root of 4758960 is about 168.2043997392.

The spelling of 4758960 in words is "four million, seven hundred fifty-eight thousand, nine hundred sixty".