449532072 has 128 divisors (see below), whose sum is σ = 1373155200. Its totient is φ = 135129600.

The previous prime is 449532053. The next prime is 449532091. The reversal of 449532072 is 270235944.

449532072 is a `hidden beast` number, since 449 + 5 + 3 + 207 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (449532053) and next prime (449532091).

It is a super-2 number, since 2×449532072² = 404158167513226368, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324822 + ... + 326202.

It is an arithmetic number, because the mean of its divisors is an integer number (10727775).

Almost surely, 2^449532072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449532072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686577600).

449532072 is an abundant number, since it is smaller than the sum of its proper divisors (923623128).

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

449532072 is a wasteful number, since it uses less digits than its factorization.

449532072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 449532072 is about 21202.1713982318. The cubic root of 449532072 is about 766.0437272086.

The spelling of 449532072 in words is "four hundred forty-nine million, five hundred thirty-two thousand, seventy-two".