1450827840 has 448 divisors, whose sum is σ = 6051133440. Its totient is φ = 285327360.

The previous prime is 1450827839. The next prime is 1450827853. The reversal of 1450827840 is 487280541.

It is a happy number.

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

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 63 ways as a sum of consecutive naturals, for example, 1403964 + ... + 1404996.

Almost surely, 2^1450827840 is an apocalyptic number.

1450827840 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 1450827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025566720).

1450827840 is an abundant number, since it is smaller than the sum of its proper divisors (4600305600).

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

1450827840 is a wasteful number, since it uses less digits than its factorization.

1450827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 1450827840 is about 38089.7340500036. The cubic root of 1450827840 is about 1132.0665553730.

The spelling of 1450827840 in words is "one billion, four hundred fifty million, eight hundred twenty-seven thousand, eight hundred forty".