4770604440 has 192 divisors, whose sum is σ = 17785085760. Its totient is φ = 1086382080.

The previous prime is 4770604411. The next prime is 4770604451. The reversal of 4770604440 is 444060774.

4770604440 is a `hidden beast` number, since 4 + 7 + 7 + 0 + 604 + 4 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4770604395 and 4770604404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 704752 + ... + 711488.

It is an arithmetic number, because the mean of its divisors is an integer number (92630655).

Almost surely, 2^4770604440 is an apocalyptic number.

4770604440 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 4770604440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8892542880).

4770604440 is an abundant number, since it is smaller than the sum of its proper divisors (13014481320).

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

4770604440 is a wasteful number, since it uses less digits than its factorization.

4770604440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042 (or 7035 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 4770604440 is about 69069.5623266863. The cubic root of 4770604440 is about 1683.4147805792.

The spelling of 4770604440 in words is "four billion, seven hundred seventy million, six hundred four thousand, four hundred forty".