449579760 has 320 divisors, whose sum is σ = 1673892864. Its totient is φ = 97689600.

The previous prime is 449579693. The next prime is 449579777. The reversal of 449579760 is 67975944.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4201627 + ... + 4201733.

Almost surely, 2^449579760 is an apocalyptic number.

449579760 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 449579760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836946432).

449579760 is an abundant number, since it is smaller than the sum of its proper divisors (1224313104).

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

449579760 is a wasteful number, since it uses less digits than its factorization.

449579760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 449579760 is about 21203.2959702024. The cubic root of 449579760 is about 766.0708144873.

It can be divided in two parts, 4495 and 79760, that added together give a triangular number (84255 = T₄₁₀).

The spelling of 449579760 in words is "four hundred forty-nine million, five hundred seventy-nine thousand, seven hundred sixty".