475959240 has 192 divisors, whose sum is σ = 1674691200. Its totient is φ = 121347072.

The previous prime is 475959227. The next prime is 475959257. The reversal of 475959240 is 42959574.

475959240 is a `hidden beast` number, since 4 + 7 + 59 + 592 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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, 222496 + ... + 224624.

It is an arithmetic number, because the mean of its divisors is an integer number (8722350).

Almost surely, 2^475959240 is an apocalyptic number.

475959240 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 475959240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837345600).

475959240 is an abundant number, since it is smaller than the sum of its proper divisors (1198731960).

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

475959240 is a wasteful number, since it uses less digits than its factorization.

475959240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 475959240 is about 21816.4900935050. The cubic root of 475959240 is about 780.7702450547.

The spelling of 475959240 in words is "four hundred seventy-five million, nine hundred fifty-nine thousand, two hundred forty".