478927680 has 672 divisors, whose sum is σ = 2075566080. Its totient is φ = 91238400.

The previous prime is 478927651. The next prime is 478927693. The reversal of 478927680 is 86729874.

478927680 = T₂₄₀₈ + T₂₄₀₉ + ... + T₂₅₆₂.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15449265 + ... + 15449295.

It is an arithmetic number, because the mean of its divisors is an integer number (3088640).

Almost surely, 2^478927680 is an apocalyptic number.

478927680 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 478927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037783040).

478927680 is an abundant number, since it is smaller than the sum of its proper divisors (1596638400).

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

478927680 is a wasteful number, since it uses less digits than its factorization.

478927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 478927680 is about 21884.4163733009. The cubic root of 478927680 is about 782.3900392257.

The spelling of 478927680 in words is "four hundred seventy-eight million, nine hundred twenty-seven thousand, six hundred eighty".