214504704 has 108 divisors (see below), whose sum is σ = 623458836. Its totient is φ = 70926336.

The previous prime is 214504681. The next prime is 214504747. The reversal of 214504704 is 407405412.

It can be written as a sum of positive squares in 2 ways, for example, as 96825600 + 117679104 = 9840^2 + 10848^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361432 + ... + 362024.

It is an arithmetic number, because the mean of its divisors is an integer number (5772767).

Almost surely, 2^214504704 is an apocalyptic number.

214504704 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 214504704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311729418).

214504704 is an abundant number, since it is smaller than the sum of its proper divisors (408954132).

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

214504704 is a wasteful number, since it uses less digits than its factorization.

214504704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 214504704 is about 14645.9791069085. The cubic root of 214504704 is about 598.6122594348.

The spelling of 214504704 in words is "two hundred fourteen million, five hundred four thousand, seven hundred four".