478308040 has 128 divisors (see below), whose sum is σ = 1267176960. Its totient is φ = 159105024.

The previous prime is 478308037. The next prime is 478308079. The reversal of 478308040 is 40803874.

It is a super-2 number, since 2×478308040² = 457557162257283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 478307987 and 478308005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2478184 + ... + 2478376.

It is an arithmetic number, because the mean of its divisors is an integer number (9899820).

Almost surely, 2^478308040 is an apocalyptic number.

478308040 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 478308040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633588480).

478308040 is an abundant number, since it is smaller than the sum of its proper divisors (788868920).

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

478308040 is a wasteful number, since it uses less digits than its factorization.

478308040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 478308040 is about 21870.2546853026. The cubic root of 478308040 is about 782.0524730239.

The spelling of 478308040 in words is "four hundred seventy-eight million, three hundred eight thousand, forty".