479752128 has 168 divisors, whose sum is σ = 1474012800. Its totient is φ = 148732416.

The previous prime is 479752127. The next prime is 479752139. The reversal of 479752128 is 821257974.

It is a happy number.

479752128 is a `hidden beast` number, since 479 + 7 + 52 + 128 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479752123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645325 + ... + 646067.

Almost surely, 2^479752128 is an apocalyptic number.

479752128 is a gapful number since it is divisible by the number (48) 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 479752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737006400).

479752128 is an abundant number, since it is smaller than the sum of its proper divisors (994260672).

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

479752128 is a wasteful number, since it uses less digits than its factorization.

479752128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 826 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 479752128 is about 21903.2446911411. The cubic root of 479752128 is about 782.8387291844.

The spelling of 479752128 in words is "four hundred seventy-nine million, seven hundred fifty-two thousand, one hundred twenty-eight".