449999472400 has 135 divisors (see below), whose sum is σ = 1149042541981. Its totient is φ = 169325701120.

The previous prime is 449999472371. The next prime is 449999472413. The reversal of 449999472400 is 4274999944.

The square root of 449999472400 is 670820.

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

It can be written as a sum of positive squares in 13 ways, for example, as 291327903504 + 158671568896 = 539748^2 + 398336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 228077814 + ... + 228079786.

Almost surely, 2^449999472400 is an apocalyptic number.

449999472400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

449999472400 is the 670820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449999472400

449999472400 is an abundant number, since it is smaller than the sum of its proper divisors (699043069581).

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

449999472400 is an equidigital number, since it uses as much as digits as its factorization.

449999472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 61.

The spelling of 449999472400 in words is "four hundred forty-nine billion, nine hundred ninety-nine million, four hundred seventy-two thousand, four hundred".