4854960 has 120 divisors (see below), whose sum is σ = 17815824. Its totient is φ = 1175040.

The previous prime is 4854931. The next prime is 4854961. The reversal of 4854960 is 694584.

It is a tau number, because it is divible by the number of its divisors (120).

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 (4854961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7614 + ... + 8226.

Almost surely, 2^4854960 is an apocalyptic number.

4854960 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 4854960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8907912).

4854960 is an abundant number, since it is smaller than the sum of its proper divisors (12960864).

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

4854960 is a wasteful number, since it uses less digits than its factorization.

4854960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4854960 is about 2203.3973767798. The cubic root of 4854960 is about 169.3279115933.

It can be divided in two parts, 485 and 4960, that added together give a palindrome (5445).

The spelling of 4854960 in words is "four million, eight hundred fifty-four thousand, nine hundred sixty".