479184768 has 128 divisors (see below), whose sum is σ = 1438077600. Its totient is φ = 157040640.

The previous prime is 479184767. The next prime is 479184773. The reversal of 479184768 is 867481974.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479184767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209680 + ... + 211952.

Almost surely, 2^479184768 is an apocalyptic number.

479184768 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 479184768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719038800).

479184768 is an abundant number, since it is smaller than the sum of its proper divisors (958892832).

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

479184768 is a wasteful number, since it uses less digits than its factorization.

479184768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2339 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 479184768 is about 21890.2893539578. The cubic root of 479184768 is about 782.5300096348.

The spelling of 479184768 in words is "four hundred seventy-nine million, one hundred eighty-four thousand, seven hundred sixty-eight".