463270809600 has 351 divisors, whose sum is σ = 1661680099443. Its totient is φ = 123364638720.

The previous prime is 463270809583. The next prime is 463270809601. The reversal of 463270809600 is 6908072364.

The square root of 463270809600 is 680640.

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

463270809600 is a `hidden beast` number, since 4 + 6 + 32 + 7 + 0 + 8 + 0 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 127946428416 + 335324381184 = 357696^2 + 579072^2 .

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

It is not an unprimeable number, because it can be changed into a prime (463270809601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 653414046 + ... + 653414754.

Almost surely, 2^463270809600 is an apocalyptic number.

463270809600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

463270809600 is the 680640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463270809600

463270809600 is an abundant number, since it is smaller than the sum of its proper divisors (1198409289843).

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

463270809600 is an frugal number, since it uses more digits than its factorization.

463270809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 463270809600 in words is "four hundred sixty-three billion, two hundred seventy million, eight hundred nine thousand, six hundred".