486338864400 has 405 divisors, whose sum is σ = 1725580470991. Its totient is φ = 126845053440.

The previous prime is 486338864393. The next prime is 486338864413. The reversal of 486338864400 is 4468833684.

The square root of 486338864400 is 697380.

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

486338864400 is a `hidden beast` number, since 48 + 63 + 3 + 88 + 64 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112147293456 + 374191570944 = 334884^2 + 611712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2468725102 + ... + 2468725298.

Almost surely, 2^486338864400 is an apocalyptic number.

486338864400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

486338864400 is the 697380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486338864400

486338864400 is an abundant number, since it is smaller than the sum of its proper divisors (1239241606591).

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

486338864400 is a wasteful number, since it uses less digits than its factorization.

486338864400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 486338864400 in words is "four hundred eighty-six billion, three hundred thirty-eight million, eight hundred sixty-four thousand, four hundred".