479605248 has 240 divisors, whose sum is σ = 1485764280. Its totient is φ = 148635648.

The previous prime is 479605237. The next prime is 479605253. The reversal of 479605248 is 842506974.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 464488704 + 15116544 = 21552^2 + 3888^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4944336 + ... + 4944432.

Almost surely, 2^479605248 is an apocalyptic number.

479605248 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 479605248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742882140).

479605248 is an abundant number, since it is smaller than the sum of its proper divisors (1006159032).

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

479605248 is a wasteful number, since it uses less digits than its factorization.

479605248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 479605248 is about 21899.8915065806. The cubic root of 479605248 is about 782.7588302239.

It can be divided in two parts, 4796052 and 48, that added together give a square (4796100 = 2190²).

The spelling of 479605248 in words is "four hundred seventy-nine million, six hundred five thousand, two hundred forty-eight".