478476544 has 288 divisors, whose sum is σ = 1318625280. Its totient is φ = 167878656.

The previous prime is 478476533. The next prime is 478476553. The reversal of 478476544 is 445674874.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10180329 + ... + 10180375.

It is an arithmetic number, because the mean of its divisors is an integer number (4578560).

Almost surely, 2^478476544 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 478476544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659312640).

478476544 is an abundant number, since it is smaller than the sum of its proper divisors (840148736).

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

478476544 is a wasteful number, since it uses less digits than its factorization.

478476544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 49.

The square root of 478476544 is about 21874.1067017604. The cubic root of 478476544 is about 782.1442991325.

It can be divided in two parts, 4784 and 76544, that multiplied together give a square (366186496 = 19136²).

The spelling of 478476544 in words is "four hundred seventy-eight million, four hundred seventy-six thousand, five hundred forty-four".