4959360 has 256 divisors, whose sum is σ = 20563200. Its totient is φ = 1105920.

The previous prime is 4959341. The next prime is 4959371. The reversal of 4959360 is 639594.

4959360 is a `hidden beast` number, since 4 + 9 + 593 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120940 + ... + 120980.

It is an arithmetic number, because the mean of its divisors is an integer number (80325).

Almost surely, 2^4959360 is an apocalyptic number.

4959360 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 4959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281600).

4959360 is an abundant number, since it is smaller than the sum of its proper divisors (15603840).

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

4959360 is a wasteful number, since it uses less digits than its factorization.

4959360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 4959360 is about 2226.9620562551. The cubic root of 4959360 is about 170.5330442800.

It can be divided in two parts, 49593 and 60, that multiplied together give a triangular number (2975580 = T₂₄₃₉).

The spelling of 4959360 in words is "four million, nine hundred fifty-nine thousand, three hundred sixty".