213413424 has 120 divisors (see below), whose sum is σ = 662243328. Its totient is φ = 58988160.

The previous prime is 213413419. The next prime is 213413437. The reversal of 213413424 is 424314312.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 213413394 and 213413403.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 71449 + ... + 74375.

Almost surely, 2^213413424 is an apocalyptic number.

213413424 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 213413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331121664).

213413424 is an abundant number, since it is smaller than the sum of its proper divisors (448829904).

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

213413424 is a wasteful number, since it uses less digits than its factorization.

213413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2970 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 213413424 is about 14608.6763260742. The cubic root of 213413424 is about 597.5953982467.

Adding to 213413424 its reverse (424314312), we get a palindrome (637727736).

The spelling of 213413424 in words is "two hundred thirteen million, four hundred thirteen thousand, four hundred twenty-four".