449919120 has 320 divisors, whose sum is σ = 1686749184. Its totient is φ = 97044480.

The previous prime is 449919101. The next prime is 449919133. The reversal of 449919120 is 21919944.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2760159 + ... + 2760321.

Almost surely, 2^449919120 is an apocalyptic number.

449919120 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 449919120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843374592).

449919120 is an abundant number, since it is smaller than the sum of its proper divisors (1236830064).

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

449919120 is a wasteful number, since it uses less digits than its factorization.

449919120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 449919120 is about 21211.2969900475. The cubic root of 449919120 is about 766.2635191932.

The spelling of 449919120 in words is "four hundred forty-nine million, nine hundred nineteen thousand, one hundred twenty".