1450829016 has 256 divisors, whose sum is σ = 5122252800. Its totient is φ = 370137600.

The previous prime is 1450828979. The next prime is 1450829021. The reversal of 1450829016 is 6109280541.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 608146 + ... + 610526.

It is an arithmetic number, because the mean of its divisors is an integer number (20008800).

Almost surely, 2^1450829016 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 1450829016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561126400).

1450829016 is an abundant number, since it is smaller than the sum of its proper divisors (3671423784).

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

1450829016 is a wasteful number, since it uses less digits than its factorization.

1450829016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1450829016 is about 38089.7494872308. The cubic root of 1450829016 is about 1132.0668612466.

The spelling of 1450829016 in words is "one billion, four hundred fifty million, eight hundred twenty-nine thousand, sixteen".