476226243360 has 288 divisors, whose sum is σ = 1858298682240. Its totient is φ = 108792152064.

The previous prime is 476226243349. The next prime is 476226243391. The reversal of 476226243360 is 63342622674.

It is a happy number.

476226243360 is a `hidden beast` number, since 4 + 76 + 226 + 24 + 336 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 19936384 + ... + 19960256.

It is an arithmetic number, because the mean of its divisors is an integer number (6452425980).

Almost surely, 2^476226243360 is an apocalyptic number.

476226243360 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 476226243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929149341120).

476226243360 is an abundant number, since it is smaller than the sum of its proper divisors (1382072438880).

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

476226243360 is a wasteful number, since it uses less digits than its factorization.

476226243360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25880 (or 25869 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 476226243360 in words is "four hundred seventy-six billion, two hundred twenty-six million, two hundred forty-three thousand, three hundred sixty".