4778624 has 32 divisors (see below), whose sum is σ = 9786900. Its totient is φ = 2322432.

The previous prime is 4778611. The next prime is 4778659. The reversal of 4778624 is 4268774.

It can be written as a sum of positive squares in 2 ways, for example, as 4700224 + 78400 = 2168^2 + 280^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4232 + ... + 5240.

Almost surely, 2^4778624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4778624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893450).

4778624 is an abundant number, since it is smaller than the sum of its proper divisors (5008276).

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

4778624 is a wasteful number, since it uses less digits than its factorization.

4778624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1048 counting only the distinct ones).

The product of its digits is 75264, while the sum is 38.

The square root of 4778624 is about 2186.0064043822. The cubic root of 4778624 is about 168.4357546376.

The spelling of 4778624 in words is "four million, seven hundred seventy-eight thousand, six hundred twenty-four".