475221427200 has 1980 divisors, whose sum is σ = 2046081871372. Its totient is φ = 108291686400.

The previous prime is 475221427189. The next prime is 475221427237. The reversal of 475221427200 is 2724122574.

475221427200 is a `hidden beast` number, since 4 + 7 + 5 + 2 + 21 + 427 + 200 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 388418125824 + 86803301376 = 623232^2 + 294624^2 .

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 7790515170 + ... + 7790515230.

Almost surely, 2^475221427200 is an apocalyptic number.

475221427200 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 475221427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023040935686).

475221427200 is an abundant number, since it is smaller than the sum of its proper divisors (1570860444172).

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

475221427200 is a wasteful number, since it uses less digits than its factorization.

475221427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

Adding to 475221427200 its reverse (2724122574), we get a palindrome (477945549774).

The spelling of 475221427200 in words is "four hundred seventy-five billion, two hundred twenty-one million, four hundred twenty-seven thousand, two hundred".