476071680 has 288 divisors, whose sum is σ = 1766016000. Its totient is φ = 107053056.

The previous prime is 476071663. The next prime is 476071697. The reversal of 476071680 is 86170674.

It is an interprime number because it is at equal distance from previous prime (476071663) and next prime (476071697).

It is a congruent number.

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, 2392221 + ... + 2392419.

It is an arithmetic number, because the mean of its divisors is an integer number (6132000).

Almost surely, 2^476071680 is an apocalyptic number.

476071680 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 476071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883008000).

476071680 is an abundant number, since it is smaller than the sum of its proper divisors (1289944320).

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

476071680 is a wasteful number, since it uses less digits than its factorization.

476071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 476071680 is about 21819.0668911390. The cubic root of 476071680 is about 780.8317229340.

The spelling of 476071680 in words is "four hundred seventy-six million, seventy-one thousand, six hundred eighty".