475941120 has 144 divisors (see below), whose sum is σ = 1557626112. Its totient is φ = 123781120.

The previous prime is 475941107. The next prime is 475941247. The reversal of 475941120 is 21149574.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 155929 + ... + 158951.

It is an arithmetic number, because the mean of its divisors is an integer number (10816848).

Almost surely, 2^475941120 is an apocalyptic number.

475941120 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 475941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778813056).

475941120 is an abundant number, since it is smaller than the sum of its proper divisors (1081684992).

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

475941120 is a wasteful number, since it uses less digits than its factorization.

475941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 475941120 is about 21816.0748073525. The cubic root of 475941120 is about 780.7603368278.

The spelling of 475941120 in words is "four hundred seventy-five million, nine hundred forty-one thousand, one hundred twenty".