478358784 has 360 divisors, whose sum is σ = 1602659520. Its totient is φ = 141115392.

The previous prime is 478358753. The next prime is 478358821. The reversal of 478358784 is 487853874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 478358784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8107747 + ... + 8107805.

It is an arithmetic number, because the mean of its divisors is an integer number (4451832).

Almost surely, 2^478358784 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 478358784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801329760).

478358784 is an abundant number, since it is smaller than the sum of its proper divisors (1124300736).

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

478358784 is a wasteful number, since it uses less digits than its factorization.

478358784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The square root of 478358784 is about 21871.4147690542. The cubic root of 478358784 is about 782.0801281917.

The spelling of 478358784 in words is "four hundred seventy-eight million, three hundred fifty-eight thousand, seven hundred eighty-four".