449623891600 has 135 divisors (see below), whose sum is σ = 1170160922523. Its totient is φ = 165950603520.

The previous prime is 449623891597. The next prime is 449623891721. The reversal of 449623891600 is 6198326944.

The square root of 449623891600 is 670540.

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

It can be written as a sum of positive squares in 4 ways, for example, as 115891223184 + 333732668416 = 340428^2 + 577696^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

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 26 ways as a sum of consecutive naturals, for example, 174339111 + ... + 174341689.

Almost surely, 2^449623891600 is an apocalyptic number.

449623891600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

449623891600 is the 670540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449623891600

449623891600 is an abundant number, since it is smaller than the sum of its proper divisors (720537030923).

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

449623891600 is an equidigital number, since it uses as much as digits as its factorization.

449623891600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 449623891600 in words is "four hundred forty-nine billion, six hundred twenty-three million, eight hundred ninety-one thousand, six hundred".