475338240 has 480 divisors, whose sum is σ = 1900815840. Its totient is φ = 111919104.

The previous prime is 475338203. The next prime is 475338251. The reversal of 475338240 is 42833574.

It is a happy number.

475338240 is a `hidden beast` number, since 4 + 7 + 533 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 475338195 and 475338204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20666869 + ... + 20666891.

It is an arithmetic number, because the mean of its divisors is an integer number (3960033).

Almost surely, 2^475338240 is an apocalyptic number.

475338240 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 475338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950407920).

475338240 is an abundant number, since it is smaller than the sum of its proper divisors (1425477600).

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

475338240 is a wasteful number, since it uses less digits than its factorization.

475338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 475338240 is about 21802.2530945772. The cubic root of 475338240 is about 780.4305315493.

The spelling of 475338240 in words is "four hundred seventy-five million, three hundred thirty-eight thousand, two hundred forty".