1450782144 has 448 divisors, whose sum is σ = 5196718080. Its totient is φ = 388177920.

The previous prime is 1450782143. The next prime is 1450782191. The reversal of 1450782144 is 4412870541.

It is a happy number.

1450782144 is a `hidden beast` number, since 1 + 4 + 507 + 8 + 2 + 144 = 666.

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

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 = 1450782099 and 1450782108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450782143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19873692 + ... + 19873764.

Almost surely, 2^1450782144 is an apocalyptic number.

1450782144 is a gapful number since it is divisible by the number (14) 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 1450782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598359040).

1450782144 is an abundant number, since it is smaller than the sum of its proper divisors (3745935936).

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

1450782144 is a wasteful number, since it uses less digits than its factorization.

1450782144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 1450782144 is about 38089.1341986137. The cubic root of 1450782144 is about 1132.0546698698.

The spelling of 1450782144 in words is "one billion, four hundred fifty million, seven hundred eighty-two thousand, one hundred forty-four".