478497888 has 288 divisors, whose sum is σ = 1608768000. Its totient is φ = 137998080.

The previous prime is 478497857. The next prime is 478497889. The reversal of 478497888 is 888794874.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478497889) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2404413 + ... + 2404611.

It is an arithmetic number, because the mean of its divisors is an integer number (5586000).

Almost surely, 2^478497888 is an apocalyptic number.

478497888 is a gapful number since it is divisible by the number (48) 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 478497888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804384000).

478497888 is an abundant number, since it is smaller than the sum of its proper divisors (1130270112).

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

478497888 is a wasteful number, since it uses less digits than its factorization.

478497888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 238 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 63.

The square root of 478497888 is about 21874.5945791002. The cubic root of 478497888 is about 782.1559289883.

The spelling of 478497888 in words is "four hundred seventy-eight million, four hundred ninety-seven thousand, eight hundred eighty-eight".