475465697280 has 960 divisors, whose sum is σ = 1961494254720. Its totient is φ = 108355387392.

The previous prime is 475465697279. The next prime is 475465697299. The reversal of 475465697280 is 82796564574.

475465697280 is a `hidden beast` number, since 4 + 7 + 5 + 46 + 569 + 7 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1410877272 + ... + 1410877608.

It is an arithmetic number, because the mean of its divisors is an integer number (2043223182).

Almost surely, 2^475465697280 is an apocalyptic number.

475465697280 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 475465697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980747127360).

475465697280 is an abundant number, since it is smaller than the sum of its proper divisors (1486028557440).

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

475465697280 is an frugal number, since it uses more digits than its factorization.

475465697280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 475465697280 in words is "four hundred seventy-five billion, four hundred sixty-five million, six hundred ninety-seven thousand, two hundred eighty".