475054080 has 120 divisors (see below), whose sum is σ = 1520913072. Its totient is φ = 126615552.

The previous prime is 475054049. The next prime is 475054081. The reversal of 475054080 is 80450574.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×475054080³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (475054081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244794 + ... + 246726.

Almost surely, 2^475054080 is an apocalyptic number.

475054080 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 475054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760456536).

475054080 is an abundant number, since it is smaller than the sum of its proper divisors (1045858992).

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

475054080 is an equidigital number, since it uses as much as digits as its factorization.

475054080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 475054080 is about 21795.7353626805. The cubic root of 475054080 is about 780.2749852267.

The spelling of 475054080 in words is "four hundred seventy-five million, fifty-four thousand, eighty".