449212400 has 360 divisors, whose sum is σ = 1417190544. Its totient is φ = 135475200.

The previous prime is 449212399. The next prime is 449212469. The reversal of 449212400 is 4212944.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 449212400.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 10446779 + ... + 10446821.

Almost surely, 2^449212400 is an apocalyptic number.

449212400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708595272).

449212400 is an abundant number, since it is smaller than the sum of its proper divisors (967978144).

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

449212400 is a wasteful number, since it uses less digits than its factorization.

449212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 449212400 is about 21194.6313957096. The cubic root of 449212400 is about 765.8621007161.

The spelling of 449212400 in words is "four hundred forty-nine million, two hundred twelve thousand, four hundred".