214009792 has 56 divisors (see below), whose sum is σ = 446135760. Its totient is φ = 101713920.

The previous prime is 214009781. The next prime is 214009819. The reversal of 214009792 is 297900412.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123492 + ... + 125212.

It is an arithmetic number, because the mean of its divisors is an integer number (7966710).

Almost surely, 2^214009792 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 214009792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223067880).

214009792 is an abundant number, since it is smaller than the sum of its proper divisors (232125968).

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

214009792 is a wasteful number, since it uses less digits than its factorization.

214009792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 214009792 is about 14629.0735181692. The cubic root of 214009792 is about 598.1515259021.

The spelling of 214009792 in words is "two hundred fourteen million, nine thousand, seven hundred ninety-two".