1005445416 has 64 divisors (see below), whose sum is σ = 2701270080. Its totient is φ = 310717440.

The previous prime is 1005445387. The next prime is 1005445471. The reversal of 1005445416 is 6145445001.

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 15 ways as a sum of consecutive naturals, for example, 8946 + ... + 45726.

It is an arithmetic number, because the mean of its divisors is an integer number (42207345).

Almost surely, 2^1005445416 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 1005445416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350635040).

1005445416 is an abundant number, since it is smaller than the sum of its proper divisors (1695824664).

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

1005445416 is a wasteful number, since it uses less digits than its factorization.

1005445416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36874 (or 36870 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1005445416 is about 31708.7592945546. The cubic root of 1005445416 is about 1001.8118538696.

The spelling of 1005445416 in words is "one billion, five million, four hundred forty-five thousand, four hundred sixteen".