4778560 has 56 divisors (see below), whose sum is σ = 11567160. Its totient is φ = 1880064.

The previous prime is 4778539. The next prime is 4778567. The reversal of 4778560 is 658774.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 3810304 = 984^2 + 1952^2 .

It is a super-3 number, since 3×4778560³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4778567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34812 + ... + 34948.

Almost surely, 2^4778560 is an apocalyptic number.

4778560 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 4778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783580).

4778560 is an abundant number, since it is smaller than the sum of its proper divisors (6788600).

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

4778560 is a wasteful number, since it uses less digits than its factorization.

4778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 4778560 is about 2185.9917657667. The cubic root of 4778560 is about 168.4350026822.

The spelling of 4778560 in words is "four million, seven hundred seventy-eight thousand, five hundred sixty".