214409148 has 48 divisors (see below), whose sum is σ = 529105920. Its totient is φ = 67388544.

The previous prime is 214409089. The next prime is 214409149. The reversal of 214409148 is 841904412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214409149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48736 + ... + 52952.

It is an arithmetic number, because the mean of its divisors is an integer number (11023040).

Almost surely, 2^214409148 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 214409148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264552960).

214409148 is an abundant number, since it is smaller than the sum of its proper divisors (314696772).

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

214409148 is a wasteful number, since it uses less digits than its factorization.

214409148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 214409148 is about 14642.7165512414. The cubic root of 214409148 is about 598.5233577496.

The spelling of 214409148 in words is "two hundred fourteen million, four hundred nine thousand, one hundred forty-eight".