1449282240 has 448 divisors, whose sum is σ = 6039429120. Its totient is φ = 320163840.

The previous prime is 1449282239. The next prime is 1449282253. The reversal of 1449282240 is 422829441.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1449282240² = 4200838022358835200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1449282195 and 1449282204.

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, 1874494 + ... + 1875266.

Almost surely, 2^1449282240 is an apocalyptic number.

1449282240 is a gapful number since it is divisible by the number (10) 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 1449282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019714560).

1449282240 is an abundant number, since it is smaller than the sum of its proper divisors (4590146880).

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

1449282240 is a wasteful number, since it uses less digits than its factorization.

1449282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1449282240 is about 38069.4397121891. The cubic root of 1449282240 is about 1131.6644070897.

The spelling of 1449282240 in words is "one billion, four hundred forty-nine million, two hundred eighty-two thousand, two hundred forty".