475495488000 has 1280 divisors, whose sum is σ = 1928231585280. Its totient is φ = 114794496000.

The previous prime is 475495487969. The next prime is 475495488001. The reversal of 475495488000 is 884594574.

It is a happy number.

475495488000 is a `hidden beast` number, since 4 + 75 + 4 + 95 + 488 + 0 + 0 + 0 = 666.

475495488000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (475495488001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1370303827 + ... + 1370304173.

It is an arithmetic number, because the mean of its divisors is an integer number (1506430926).

Almost surely, 2^475495488000 is an apocalyptic number.

475495488000 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 475495488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964115792640).

475495488000 is an abundant number, since it is smaller than the sum of its proper divisors (1452736097280).

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

475495488000 is a wasteful number, since it uses less digits than its factorization.

475495488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 475495488000 in words is "four hundred seventy-five billion, four hundred ninety-five million, four hundred eighty-eight thousand".