214748352 has 336 divisors, whose sum is σ = 805476672. Its totient is φ = 53084160.

The previous prime is 214748341. The next prime is 214748353. The reversal of 214748352 is 253847412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×214748352² = 92233709373431808, which contains 22 as substring.

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

It is a nialpdrome in base 16.

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 (214748353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890952 + ... + 891192.

It is an arithmetic number, because the mean of its divisors is an integer number (2397252).

Almost surely, 2^214748352 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 214748352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402738336).

214748352 is an abundant number, since it is smaller than the sum of its proper divisors (590728320).

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

214748352 is a wasteful number, since it uses less digits than its factorization.

214748352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 283 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 214748352 is about 14654.2946606106. The cubic root of 214748352 is about 598.8388208881.

The spelling of 214748352 in words is "two hundred fourteen million, seven hundred forty-eight thousand, three hundred fifty-two".