213024420 has 72 divisors (see below), whose sum is σ = 738489024. Its totient is φ = 48691008.

The previous prime is 213024407. The next prime is 213024431. The reversal of 213024420 is 24420312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213024393 and 213024402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83274 + ... + 85793.

It is an arithmetic number, because the mean of its divisors is an integer number (10256792).

Almost surely, 2^213024420 is an apocalyptic number.

213024420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213024420 is an abundant number, since it is smaller than the sum of its proper divisors (525464604).

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

213024420 is a wasteful number, since it uses less digits than its factorization.

213024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169089 (or 169084 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 213024420 is about 14595.3561107635. The cubic root of 213024420 is about 597.2320840372.

Adding to 213024420 its reverse (24420312), we get a palindrome (237444732).

It can be divided in two parts, 213024 and 420, that added together give a square (213444 = 462²).

The spelling of 213024420 in words is "two hundred thirteen million, twenty-four thousand, four hundred twenty".