449515008 has 120 divisors (see below), whose sum is σ = 1345752408. Its totient is φ = 149796864.

The previous prime is 449515007. The next prime is 449515009. The reversal of 449515008 is 800515944.

It is an interprime number because it is at equal distance from previous prime (449515007) and next prime (449515009).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449515007) 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 11 ways as a sum of consecutive naturals, for example, 122610 + ... + 126222.

Almost surely, 2^449515008 is an apocalyptic number.

449515008 is a gapful number since it is divisible by the number (48) 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 449515008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672876204).

449515008 is an abundant number, since it is smaller than the sum of its proper divisors (896237400).

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

449515008 is an frugal number, since it uses more digits than its factorization.

449515008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 449515008 is about 21201.7689827995. The cubic root of 449515008 is about 766.0340342142.

It can be divided in two parts, 4495 and 15008, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 449515008 in words is "four hundred forty-nine million, five hundred fifteen thousand, eight".