4579960 has 64 divisors (see below), whose sum is σ = 12856320. Its totient is φ = 1426560.

The previous prime is 4579951. The next prime is 4579961. The reversal of 4579960 is 699754.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4579961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2337 + ... + 3823.

It is an arithmetic number, because the mean of its divisors is an integer number (200880).

Almost surely, 2^4579960 is an apocalyptic number.

4579960 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 4579960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428160).

4579960 is an abundant number, since it is smaller than the sum of its proper divisors (8276360).

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

4579960 is a wasteful number, since it uses less digits than its factorization.

4579960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 4579960 is about 2140.0841104966. The cubic root of 4579960 is about 166.0684867644.

The spelling of 4579960 in words is "four million, five hundred seventy-nine thousand, nine hundred sixty".