475130869200 has 1200 divisors, whose sum is σ = 1891008134400. Its totient is φ = 113542041600.

The previous prime is 475130869189. The next prime is 475130869211. The reversal of 475130869200 is 2968031574.

475130869200 is a `hidden beast` number, since 47 + 513 + 0 + 8 + 6 + 92 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (475130869189) and next prime (475130869211).

It is a tau number, because it is divible by the number of its divisors (1200).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3626953135 + ... + 3626953265.

It is an arithmetic number, because the mean of its divisors is an integer number (1575840112).

It is a 2-persistent number, because it is pandigital, and so is 2⋅475130869200 = 950261738400, but 3⋅475130869200 = 1425392607600 is not.

Almost surely, 2^475130869200 is an apocalyptic number.

475130869200 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 475130869200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945504067200).

475130869200 is an abundant number, since it is smaller than the sum of its proper divisors (1415877265200).

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

475130869200 is a wasteful number, since it uses less digits than its factorization.

475130869200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 475130869200 in words is "four hundred seventy-five billion, one hundred thirty million, eight hundred sixty-nine thousand, two hundred".