479481072 has 80 divisors (see below), whose sum is σ = 1444550400. Its totient is φ = 136989888.

The previous prime is 479481059. The next prime is 479481103. The reversal of 479481072 is 270184974.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1903 + ... + 31025.

It is an arithmetic number, because the mean of its divisors is an integer number (18056880).

Almost surely, 2^479481072 is an apocalyptic number.

479481072 is a gapful number since it is divisible by the number (42) 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 479481072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722275200).

479481072 is an abundant number, since it is smaller than the sum of its proper divisors (965069328).

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

479481072 is a wasteful number, since it uses less digits than its factorization.

479481072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29155 (or 29135 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 479481072 is about 21897.0562405087. The cubic root of 479481072 is about 782.6912689320.

The spelling of 479481072 in words is "four hundred seventy-nine million, four hundred eighty-one thousand, seventy-two".