4770432000 has 528 divisors, whose sum is σ = 17784237744. Its totient is φ = 1228800000.

The previous prime is 4770431971. The next prime is 4770432031. The reversal of 4770432000 is 2340774.

It can be written as a sum of positive squares in 8 ways, for example, as 1496761344 + 3273670656 = 38688^2 + 57216^2 .

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, 47231950 + ... + 47232050.

Almost surely, 2^4770432000 is an apocalyptic number.

4770432000 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 4770432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8892118872).

4770432000 is an abundant number, since it is smaller than the sum of its proper divisors (13013805744).

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

4770432000 is a wasteful number, since it uses less digits than its factorization.

4770432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 4770432000 is about 69068.3140086683. The cubic root of 4770432000 is about 1683.3944972275.

Adding to 4770432000 its reverse (2340774), we get a palindrome (4772772774).

The spelling of 4770432000 in words is "four billion, seven hundred seventy million, four hundred thirty-two thousand".