214402944 has 192 divisors, whose sum is σ = 680641920. Its totient is φ = 58567680.

The previous prime is 214402943. The next prime is 214402961. The reversal of 214402944 is 449204412.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214402943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2583127 + ... + 2583209.

It is an arithmetic number, because the mean of its divisors is an integer number (3545010).

Almost surely, 2^214402944 is an apocalyptic number.

214402944 is a gapful number since it is divisible by the number (24) 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 214402944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340320960).

214402944 is an abundant number, since it is smaller than the sum of its proper divisors (466238976).

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

214402944 is an equidigital number, since it uses as much as digits as its factorization.

214402944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 214402944 is about 14642.5047037725. The cubic root of 214402944 is about 598.5175848698.

The spelling of 214402944 in words is "two hundred fourteen million, four hundred two thousand, nine hundred forty-four".