475203960 has 576 divisors, whose sum is σ = 2048716800. Its totient is φ = 94348800.

The previous prime is 475203959. The next prime is 475203973. The reversal of 475203960 is 69302574.

475203960 is a `hidden beast` number, since 47 + 520 + 3 + 96 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6015201 + ... + 6015279.

It is an arithmetic number, because the mean of its divisors is an integer number (3556800).

Almost surely, 2^475203960 is an apocalyptic number.

475203960 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 475203960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024358400).

475203960 is an abundant number, since it is smaller than the sum of its proper divisors (1573512840).

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

475203960 is a wasteful number, since it uses less digits than its factorization.

475203960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 475203960 is about 21799.1733788233. The cubic root of 475203960 is about 780.3570357572.

The spelling of 475203960 in words is "four hundred seventy-five million, two hundred three thousand, nine hundred sixty".