449340480 has 224 divisors, whose sum is σ = 1601297280. Its totient is φ = 118609920.

The previous prime is 449340473. The next prime is 449340491. The reversal of 449340480 is 84043944.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1131642 + ... + 1132038.

Almost surely, 2^449340480 is an apocalyptic number.

449340480 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 449340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800648640).

449340480 is an abundant number, since it is smaller than the sum of its proper divisors (1151956800).

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

449340480 is a wasteful number, since it uses less digits than its factorization.

449340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 449340480 is about 21197.6527002402. The cubic root of 449340480 is about 765.9348816520.

The spelling of 449340480 in words is "four hundred forty-nine million, three hundred forty thousand, four hundred eighty".