478106880 has 144 divisors (see below), whose sum is σ = 1607565120. Its totient is φ = 120766464.

The previous prime is 478106869. The next prime is 478106891. The reversal of 478106880 is 88601874.

It is an interprime number because it is at equal distance from previous prime (478106869) and next prime (478106891).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69684 + ... + 76236.

Almost surely, 2^478106880 is an apocalyptic number.

478106880 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 478106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803782560).

478106880 is an abundant number, since it is smaller than the sum of its proper divisors (1129458240).

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

478106880 is a wasteful number, since it uses less digits than its factorization.

478106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6596 (or 6582 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 478106880 is about 21865.6552611624. The cubic root of 478106880 is about 781.9428228113.

The spelling of 478106880 in words is "four hundred seventy-eight million, one hundred six thousand, eight hundred eighty".