405213210 has 48 divisors (see below), whose sum is σ = 1058208840. Its totient is φ = 107579520.

The previous prime is 405213203. The next prime is 405213223. The reversal of 405213210 is 12312504.

It can be written as a sum of positive squares in 4 ways, for example, as 392872041 + 12341169 = 19821^2 + 3513^2 .

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

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, 10780 + ... + 30440.

Almost surely, 2^405213210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405213210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529104420).

405213210 is an abundant number, since it is smaller than the sum of its proper divisors (652995630).

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

405213210 is a wasteful number, since it uses less digits than its factorization.

405213210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19903 (or 19900 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 405213210 is about 20129.9083455440. The cubic root of 405213210 is about 739.9934318872.

Adding to 405213210 its reverse (12312504), we get a palindrome (417525714).

The spelling of 405213210 in words is "four hundred five million, two hundred thirteen thousand, two hundred ten".