449779264 has 63 divisors (see below), whose sum is σ = 985133793. Its totient is φ = 203596800.

The previous prime is 449779261. The next prime is 449779273. The reversal of 449779264 is 462977944.

The square root of 449779264 is 21208.

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

It can be written as a sum of positive squares in only one way, i.e., 338265664 + 111513600 = 18392^2 + 10560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (449779261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1866184 + ... + 1866424.

Almost surely, 2^449779264 is an apocalyptic number.

449779264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

449779264 is the 21208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449779264

449779264 is an abundant number, since it is smaller than the sum of its proper divisors (535354529).

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

449779264 is an equidigital number, since it uses as much as digits as its factorization.

449779264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 254 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 52.

The cubic root of 449779264 is about 766.1841140646.

The spelling of 449779264 in words is "four hundred forty-nine million, seven hundred seventy-nine thousand, two hundred sixty-four".