477740851344 has 135 divisors (see below), whose sum is σ = 1348222638009. Its totient is φ = 157922634240.

The previous prime is 477740851307. The next prime is 477740851421. The reversal of 477740851344 is 443158047774.

It is a happy number.

The square root of 477740851344 is 691188.

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

477740851344 is a `hidden beast` number, since 47 + 7 + 7 + 40 + 8 + 513 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 359294745744 + 118446105600 = 599412^2 + 344160^2 .

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 26 ways as a sum of consecutive naturals, for example, 1982327064 + ... + 1982327304.

Almost surely, 2^477740851344 is an apocalyptic number.

477740851344 is the 691188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477740851344

477740851344 is an abundant number, since it is smaller than the sum of its proper divisors (870481786665).

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

477740851344 is an equidigital number, since it uses as much as digits as its factorization.

477740851344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 477740851344 in words is "four hundred seventy-seven billion, seven hundred forty million, eight hundred fifty-one thousand, three hundred forty-four".