478027440 has 480 divisors, whose sum is σ = 1899878400. Its totient is φ = 110246400.

The previous prime is 478027421. The next prime is 478027447. The reversal of 478027440 is 44720874.

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 = 478027395 and 478027404.

It is not an unprimeable number, because it can be changed into a prime (478027447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8102131 + ... + 8102189.

It is an arithmetic number, because the mean of its divisors is an integer number (3958080).

Almost surely, 2^478027440 is an apocalyptic number.

478027440 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 478027440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949939200).

478027440 is an abundant number, since it is smaller than the sum of its proper divisors (1421850960).

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

478027440 is a wasteful number, since it uses less digits than its factorization.

478027440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 478027440 is about 21863.8386382630. The cubic root of 478027440 is about 781.8995124267.

The spelling of 478027440 in words is "four hundred seventy-eight million, twenty-seven thousand, four hundred forty".