449152000 has 264 divisors, whose sum is σ = 1274134680. Its totient is φ = 157696000.

The previous prime is 449151977. The next prime is 449152013. The reversal of 449152000 is 251944.

It can be written as a sum of positive squares in 4 ways, for example, as 17842176 + 431309824 = 4224^2 + 20768^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15487986 + ... + 15488014.

Almost surely, 2^449152000 is an apocalyptic number.

449152000 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 449152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637067340).

449152000 is an abundant number, since it is smaller than the sum of its proper divisors (824982680).

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

449152000 is a wasteful number, since it uses less digits than its factorization.

449152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 449152000 is about 21193.2064586744. The cubic root of 449152000 is about 765.8277738630.

The spelling of 449152000 in words is "four hundred forty-nine million, one hundred fifty-two thousand".