478264224 has 48 divisors (see below), whose sum is σ = 1274198688. Its totient is φ = 157039872.

The previous prime is 478264159. The next prime is 478264253. The reversal of 478264224 is 422462874.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 30747 + ... + 43610.

It is an arithmetic number, because the mean of its divisors is an integer number (26545806).

Almost surely, 2^478264224 is an apocalyptic number.

It is an amenable number.

478264224 is an abundant number, since it is smaller than the sum of its proper divisors (795934464).

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

478264224 is a wasteful number, since it uses less digits than its factorization.

478264224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74437 (or 74429 counting only the distinct ones).

The product of its digits is 172032, while the sum is 39.

The square root of 478264224 is about 21869.2529364860. The cubic root of 478264224 is about 782.0285919997.

It can be divided in two parts, 4782 and 64224, that added together give a triangular number (69006 = T₃₇₁).

The spelling of 478264224 in words is "four hundred seventy-eight million, two hundred sixty-four thousand, two hundred twenty-four".