475447680 has 192 divisors, whose sum is σ = 1654052400. Its totient is φ = 125841408.

The previous prime is 475447673. The next prime is 475447717. The reversal of 475447680 is 86744574.

475447680 is a `hidden beast` number, since 47 + 544 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1134511 + ... + 1134929.

Almost surely, 2^475447680 is an apocalyptic number.

475447680 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 475447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827026200).

475447680 is an abundant number, since it is smaller than the sum of its proper divisors (1178604720).

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

475447680 is a wasteful number, since it uses less digits than its factorization.

475447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 475447680 is about 21804.7627824748. The cubic root of 475447680 is about 780.4904213683.

The spelling of 475447680 in words is "four hundred seventy-five million, four hundred forty-seven thousand, six hundred eighty".