4770432 has 96 divisors (see below), whose sum is σ = 14201460. Its totient is φ = 1536000.

The previous prime is 4770431. The next prime is 4770439. The reversal of 4770432 is 2340774.

It can be written as a sum of positive squares in 2 ways, for example, as 4769856 + 576 = 2184^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4770396 and 4770405.

It is not an unprimeable number, because it can be changed into a prime (4770431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47182 + ... + 47282.

Almost surely, 2^4770432 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 4770432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7100730).

4770432 is an abundant number, since it is smaller than the sum of its proper divisors (9431028).

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

4770432 is a wasteful number, since it uses less digits than its factorization.

4770432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

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

The square root of 4770432 is about 2184.1318641511. The cubic root of 4770432 is about 168.3394497228.

The spelling of 4770432 in words is "four million, seven hundred seventy thousand, four hundred thirty-two".