475312488000 has 448 divisors, whose sum is σ = 1823137645056. Its totient is φ = 106859520000.

The previous prime is 475312487999. The next prime is 475312488103. The reversal of 475312488000 is 884213574.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×475312488000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10224810 + ... + 10271190.

It is an arithmetic number, because the mean of its divisors is an integer number (4069503672).

Almost surely, 2^475312488000 is an apocalyptic number.

475312488000 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 475312488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911568822528).

475312488000 is an abundant number, since it is smaller than the sum of its proper divisors (1347825157056).

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

475312488000 is a wasteful number, since it uses less digits than its factorization.

475312488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46479 (or 46459 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 475312488000 in words is "four hundred seventy-five billion, three hundred twelve million, four hundred eighty-eight thousand".