449001600 has 96 divisors (see below), whose sum is σ = 1478930640. Its totient is φ = 119731200.

The previous prime is 449001589. The next prime is 449001677. The reversal of 449001600 is 6100944.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 13786 + ... + 32985.

Almost surely, 2^449001600 is an apocalyptic number.

449001600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449001600 is an abundant number, since it is smaller than the sum of its proper divisors (1029929040).

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

449001600 is a wasteful number, since it uses less digits than its factorization.

449001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46798 (or 46781 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 449001600 is about 21189.6578547177. The cubic root of 449001600 is about 765.7422843510.

The spelling of 449001600 in words is "four hundred forty-nine million, one thousand, six hundred".