478391424 has 384 divisors, whose sum is σ = 1678838400. Its totient is φ = 117669888.

The previous prime is 478391413. The next prime is 478391437. The reversal of 478391424 is 424193874.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (193536) is a multiple of the sum of its prime factors (108).

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 47 ways as a sum of consecutive naturals, for example, 16496242 + ... + 16496270.

It is an arithmetic number, because the mean of its divisors is an integer number (4371975).

Almost surely, 2^478391424 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 478391424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839419200).

478391424 is an abundant number, since it is smaller than the sum of its proper divisors (1200446976).

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

478391424 is a wasteful number, since it uses less digits than its factorization.

478391424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 478391424 is about 21872.1609357649. The cubic root of 478391424 is about 782.0979157574.

The spelling of 478391424 in words is "four hundred seventy-eight million, three hundred ninety-one thousand, four hundred twenty-four".