213884748 has 288 divisors, whose sum is σ = 738017280. Its totient is φ = 50544000.

The previous prime is 213884747. The next prime is 213884777. The reversal of 213884748 is 847488312.

It is not an unprimeable number, because it can be changed into a prime (213884747) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1632643 + ... + 1632773.

It is an arithmetic number, because the mean of its divisors is an integer number (2562560).

Almost surely, 2^213884748 is an apocalyptic number.

213884748 is a gapful number since it is divisible by the number (28) 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 213884748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369008640).

213884748 is an abundant number, since it is smaller than the sum of its proper divisors (524132532).

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

213884748 is a wasteful number, since it uses less digits than its factorization.

213884748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 204 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 213884748 is about 14624.7990755429. The cubic root of 213884748 is about 598.0350050164.

The spelling of 213884748 in words is "two hundred thirteen million, eight hundred eighty-four thousand, seven hundred forty-eight".