475285800 has 384 divisors, whose sum is σ = 1748459520. Its totient is φ = 105600000.

The previous prime is 475285799. The next prime is 475285801. The reversal of 475285800 is 8582574.

It is an interprime number because it is at equal distance from previous prime (475285799) and next prime (475285801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475285801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4705750 + ... + 4705850.

It is an arithmetic number, because the mean of its divisors is an integer number (4553280).

Almost surely, 2^475285800 is an apocalyptic number.

475285800 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 475285800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874229760).

475285800 is an abundant number, since it is smaller than the sum of its proper divisors (1273173720).

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

475285800 is a wasteful number, since it uses less digits than its factorization.

475285800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 475285800 is about 21801.0504334080. The cubic root of 475285800 is about 780.4018310867.

The spelling of 475285800 in words is "four hundred seventy-five million, two hundred eighty-five thousand, eight hundred".