475363980 has 144 divisors (see below), whose sum is σ = 1774753344. Its totient is φ = 100293120.

The previous prime is 475363961. The next prime is 475363981. The reversal of 475363980 is 89363574.

475363980 is a `hidden beast` number, since 4 + 7 + 5 + 3 + 639 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (475363981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1870 + ... + 30890.

It is an arithmetic number, because the mean of its divisors is an integer number (12324676).

Almost surely, 2^475363980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475363980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887376672).

475363980 is an abundant number, since it is smaller than the sum of its proper divisors (1299389364).

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

475363980 is a wasteful number, since it uses less digits than its factorization.

475363980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29056 (or 29051 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 475363980 is about 21802.8433925486. The cubic root of 475363980 is about 780.4446183038. Note that the first 3 decimals are identical.

The spelling of 475363980 in words is "four hundred seventy-five million, three hundred sixty-three thousand, nine hundred eighty".