479055456 has 216 divisors, whose sum is σ = 1529335080. Its totient is φ = 142095360.

The previous prime is 479055449. The next prime is 479055457. The reversal of 479055456 is 654550974.

479055456 is a `hidden beast` number, since 4 + 7 + 90 + 554 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479055457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2055916 + ... + 2056148.

It is an arithmetic number, because the mean of its divisors is an integer number (7080255).

Almost surely, 2^479055456 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 479055456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764667540).

479055456 is an abundant number, since it is smaller than the sum of its proper divisors (1050279624).

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

479055456 is a wasteful number, since it uses less digits than its factorization.

479055456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 479055456 is about 21887.3355162295. The cubic root of 479055456 is about 782.4596125555.

It can be divided in two parts, 47905 and 5456, that added together give a square (53361 = 231²).

The spelling of 479055456 in words is "four hundred seventy-nine million, fifty-five thousand, four hundred fifty-six".