479767752 has 128 divisors (see below), whose sum is σ = 1380585600. Its totient is φ = 154255104.

The previous prime is 479767747. The next prime is 479767759. The reversal of 479767752 is 257767974.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (479767759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1382443 + ... + 1382789.

It is an arithmetic number, because the mean of its divisors is an integer number (10785825).

Almost surely, 2^479767752 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 479767752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690292800).

479767752 is an abundant number, since it is smaller than the sum of its proper divisors (900817848).

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

479767752 is a wasteful number, since it uses less digits than its factorization.

479767752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 562 counting only the distinct ones).

The product of its digits is 5186160, while the sum is 54.

The square root of 479767752 is about 21903.6013477236. The cubic root of 479767752 is about 782.8472272808.

The spelling of 479767752 in words is "four hundred seventy-nine million, seven hundred sixty-seven thousand, seven hundred fifty-two".