479767392 has 144 divisors (see below), whose sum is σ = 1482324480. Its totient is φ = 146313216.

The previous prime is 479767391. The next prime is 479767397. The reversal of 479767392 is 293767974.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479767391) 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 23 ways as a sum of consecutive naturals, for example, 474984 + ... + 475992.

It is an arithmetic number, because the mean of its divisors is an integer number (10293920).

Almost surely, 2^479767392 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 479767392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741162240).

479767392 is an abundant number, since it is smaller than the sum of its proper divisors (1002557088).

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

479767392 is a wasteful number, since it uses less digits than its factorization.

479767392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1154 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 54.

The square root of 479767392 is about 21903.5931298954. The cubic root of 479767392 is about 782.8470314742.

The spelling of 479767392 in words is "four hundred seventy-nine million, seven hundred sixty-seven thousand, three hundred ninety-two".