214928406 has 72 divisors (see below), whose sum is σ = 590980104. Its totient is φ = 55823040.

The previous prime is 214928401. The next prime is 214928407. The reversal of 214928406 is 604829412.

214928406 = 343² + 344² + ... + 881².

214928406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214928401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1375 + ... + 20778.

It is an arithmetic number, because the mean of its divisors is an integer number (8208057).

Almost surely, 2^214928406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214928406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295490052).

214928406 is an abundant number, since it is smaller than the sum of its proper divisors (376051698).

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

214928406 is a wasteful number, since it uses less digits than its factorization.

214928406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22186 (or 22176 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 214928406 is about 14660.4367602060. The cubic root of 214928406 is about 599.0061379728.

The spelling of 214928406 in words is "two hundred fourteen million, nine hundred twenty-eight thousand, four hundred six".