4782960 has 240 divisors, whose sum is σ = 20040384. Its totient is φ = 995328.

The previous prime is 4782913. The next prime is 4782961. The reversal of 4782960 is 692874.

4782960 = 371² + 372² + ... + 402².

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an Ulam number.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4782961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65484 + ... + 65556.

Almost surely, 2^4782960 is an apocalyptic number.

4782960 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 4782960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10020192).

4782960 is an abundant number, since it is smaller than the sum of its proper divisors (15257424).

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

4782960 is a wasteful number, since it uses less digits than its factorization.

4782960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4782960 is about 2186.9979423859. The cubic root of 4782960 is about 168.4866839879.

The spelling of 4782960 in words is "four million, seven hundred eighty-two thousand, nine hundred sixty".