478857456 has 240 divisors, whose sum is σ = 1759530240. Its totient is φ = 117780480.

The previous prime is 478857451. The next prime is 478857487. The reversal of 478857456 is 654758874.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478857451) by changing a digit.

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, 209536 + ... + 211808.

It is an arithmetic number, because the mean of its divisors is an integer number (7331376).

Almost surely, 2^478857456 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 478857456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879765120).

478857456 is an abundant number, since it is smaller than the sum of its proper divisors (1280672784).

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

478857456 is a wasteful number, since it uses less digits than its factorization.

478857456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2315 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The square root of 478857456 is about 21882.8118851303. The cubic root of 478857456 is about 782.3517973741.

The spelling of 478857456 in words is "four hundred seventy-eight million, eight hundred fifty-seven thousand, four hundred fifty-six".