476331323400256 has 63 divisors (see below), whose sum is σ = 956774478136701. Its totient is φ = 235289037291264.

The previous prime is 476331323400241. The next prime is 476331323400271. The reversal of 476331323400256 is 652004323133674.

The square root of 476331323400256 is 21825016.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (476331323400241) and next prime (476331323400271).

It can be written as a sum of positive squares in only one way, i.e., 274041007905856 + 202290315494400 = 16554184^2 + 14222880^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 14491794190 + ... + 14491827058.

Almost surely, 2^{476331323400256} is an apocalyptic number.

476331323400256 is the 21825016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476331323400256

476331323400256 is an abundant number, since it is smaller than the sum of its proper divisors (480443154736445).

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

476331323400256 is an frugal number, since it uses more digits than its factorization.

476331323400256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65916 (or 32954 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 49.

The spelling of 476331323400256 in words is "four hundred seventy-six trillion, three hundred thirty-one billion, three hundred twenty-three million, four hundred thousand, two hundred fifty-six".