213424848 has 320 divisors, whose sum is σ = 774950400. Its totient is φ = 54743040.

The previous prime is 213424847. The next prime is 213424873. The reversal of 213424848 is 848424312.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213424847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2397988 + ... + 2398076.

It is an arithmetic number, because the mean of its divisors is an integer number (2421720).

Almost surely, 2^213424848 is an apocalyptic number.

213424848 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 213424848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387475200).

213424848 is an abundant number, since it is smaller than the sum of its proper divisors (561525552).

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

213424848 is a wasteful number, since it uses less digits than its factorization.

213424848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 213424848 is about 14609.0673213590. The cubic root of 213424848 is about 597.6060611311.

The spelling of 213424848 in words is "two hundred thirteen million, four hundred twenty-four thousand, eight hundred forty-eight".