479489472 has 336 divisors, whose sum is σ = 1806854400. Its totient is φ = 117780480.

The previous prime is 479489459. The next prime is 479489489. The reversal of 479489472 is 274984974.

It is a happy number.

479489472 is a `hidden beast` number, since 4 + 7 + 94 + 89 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 842404 + ... + 842972.

Almost surely, 2^479489472 is an apocalyptic number.

479489472 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 479489472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903427200).

479489472 is an abundant number, since it is smaller than the sum of its proper divisors (1327364928).

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

479489472 is a wasteful number, since it uses less digits than its factorization.

479489472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 611 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 479489472 is about 21897.2480462728. The cubic root of 479489472 is about 782.6958395457.

The spelling of 479489472 in words is "four hundred seventy-nine million, four hundred eighty-nine thousand, four hundred seventy-two".