478608840 has 96 divisors (see below), whose sum is σ = 1623136320. Its totient is φ = 122077824.

The previous prime is 478608833. The next prime is 478608847. The reversal of 478608840 is 48806874.

478608840 is a `hidden beast` number, since 478 + 60 + 88 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (478608833) and next prime (478608847).

It is a super-2 number, since 2×478608840² = 458132843452291200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (478608847) 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, 20622 + ... + 37181.

It is an arithmetic number, because the mean of its divisors is an integer number (16907670).

Almost surely, 2^478608840 is an apocalyptic number.

478608840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478608840 is an abundant number, since it is smaller than the sum of its proper divisors (1144527480).

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

478608840 is a wasteful number, since it uses less digits than its factorization.

478608840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57843 (or 57836 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 478608840 is about 21877.1305248197. The cubic root of 478608840 is about 782.2163786163.

The spelling of 478608840 in words is "four hundred seventy-eight million, six hundred eight thousand, eight hundred forty".