478093824 has 240 divisors, whose sum is σ = 1555025472. Its totient is φ = 140304384.

The previous prime is 478093813. The next prime is 478093829. The reversal of 478093824 is 428390874.

It is a self number, because there is not a number n which added to its sum of digits gives 478093824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478093829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1377619 + ... + 1377965.

Almost surely, 2^478093824 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 478093824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777512736).

478093824 is an abundant number, since it is smaller than the sum of its proper divisors (1076931648).

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

478093824 is a wasteful number, since it uses less digits than its factorization.

478093824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 478093824 is about 21865.3567087299. The cubic root of 478093824 is about 781.9357050594.

The spelling of 478093824 in words is "four hundred seventy-eight million, ninety-three thousand, eight hundred twenty-four".