475642080 has 144 divisors (see below), whose sum is σ = 1635654384. Its totient is φ = 125859840.

The previous prime is 475642043. The next prime is 475642103. The reversal of 475642080 is 80246574.

475642080 is a `hidden beast` number, since 4 + 7 + 5 + 642 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196075 + ... + 198485.

It is an arithmetic number, because the mean of its divisors is an integer number (11358711).

Almost surely, 2^475642080 is an apocalyptic number.

475642080 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 475642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817827192).

475642080 is an abundant number, since it is smaller than the sum of its proper divisors (1160012304).

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

475642080 is a wasteful number, since it uses less digits than its factorization.

475642080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 475642080 is about 21809.2200685857. The cubic root of 475642080 is about 780.5967819414.

The spelling of 475642080 in words is "four hundred seventy-five million, six hundred forty-two thousand, eighty".