1000467216 has 240 divisors, whose sum is σ = 3346357248. Its totient is φ = 273024000.

The previous prime is 1000467157. The next prime is 1000467229. The reversal of 1000467216 is 6127640001.

1000467216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1000467216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3155890 + ... + 3156206.

Almost surely, 2^1000467216 is an apocalyptic number.

1000467216 is a gapful number since it is divisible by the number (16) 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 1000467216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673178624).

1000467216 is an abundant number, since it is smaller than the sum of its proper divisors (2345890032).

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

1000467216 is a wasteful number, since it uses less digits than its factorization.

1000467216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1000467216 is about 31630.1630726116. The cubic root of 1000467216 is about 1000.1557144184.

The spelling of 1000467216 in words is "one billion, four hundred sixty-seven thousand, two hundred sixteen".