449426880 has 280 divisors, whose sum is σ = 1827812448. Its totient is φ = 102684672.

The previous prime is 449426849. The next prime is 449426881. The reversal of 449426880 is 88624944.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449426881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180202 + ... + 182678.

Almost surely, 2^449426880 is an apocalyptic number.

449426880 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 449426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913906224).

449426880 is an abundant number, since it is smaller than the sum of its proper divisors (1378385568).

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

449426880 is a wasteful number, since it uses less digits than its factorization.

449426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 449426880 is about 21199.6905637795. The cubic root of 449426880 is about 765.9839702872.

The spelling of 449426880 in words is "four hundred forty-nine million, four hundred twenty-six thousand, eight hundred eighty".