478058040 has 144 divisors (see below), whose sum is σ = 1610130600. Its totient is φ = 123008256.

The previous prime is 478058029. The next prime is 478058057. The reversal of 478058040 is 40850874.

478058040 is a `hidden beast` number, since 4 + 78 + 0 + 580 + 4 + 0 = 666.

478058040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 478057986 and 478058004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 301971 + ... + 303549.

Almost surely, 2^478058040 is an apocalyptic number.

478058040 is a gapful number since it is divisible by the number (40) 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 478058040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805065300).

478058040 is an abundant number, since it is smaller than the sum of its proper divisors (1132072560).

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

478058040 is a wasteful number, since it uses less digits than its factorization.

478058040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 478058040 is about 21864.5384126901. The cubic root of 478058040 is about 781.9161959980.

The spelling of 478058040 in words is "four hundred seventy-eight million, fifty-eight thousand, forty".