449072400 has 240 divisors, whose sum is σ = 1658516864. Its totient is φ = 101744640.

The previous prime is 449072389. The next prime is 449072471. The reversal of 449072400 is 4270944.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1621062 + ... + 1621338.

Almost surely, 2^449072400 is an apocalyptic number.

449072400 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 449072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829258432).

449072400 is an abundant number, since it is smaller than the sum of its proper divisors (1209444464).

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

449072400 is a wasteful number, since it uses less digits than its factorization.

449072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 449072400 is about 21191.3284151796. The cubic root of 449072400 is about 765.7825304618.

The spelling of 449072400 in words is "four hundred forty-nine million, seventy-two thousand, four hundred".