449137920 has 576 divisors, whose sum is σ = 1883750400. Its totient is φ = 90316800.

The previous prime is 449137919. The next prime is 449137921. The reversal of 449137920 is 29731944.

It is an interprime number because it is at equal distance from previous prime (449137919) and next prime (449137921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449137921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14488305 + ... + 14488335.

It is an arithmetic number, because the mean of its divisors is an integer number (3270400).

Almost surely, 2^449137920 is an apocalyptic number.

449137920 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 449137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941875200).

449137920 is an abundant number, since it is smaller than the sum of its proper divisors (1434612480).

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

449137920 is a wasteful number, since it uses less digits than its factorization.

449137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 449137920 is about 21192.8742741517. The cubic root of 449137920 is about 765.8197713993.

The spelling of 449137920 in words is "four hundred forty-nine million, one hundred thirty-seven thousand, nine hundred twenty".