212505424 has 80 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 96895872.

The previous prime is 212505401. The next prime is 212505431. The reversal of 212505424 is 424505212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1528747 + ... + 1528885.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^212505424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212505424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

212505424 is an abundant number, since it is smaller than the sum of its proper divisors (237465776).

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

212505424 is a wasteful number, since it uses less digits than its factorization.

212505424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 212505424 is about 14577.5657775913. The cubic root of 212505424 is about 596.7466731384.

The spelling of 212505424 in words is "two hundred twelve million, five hundred five thousand, four hundred twenty-four".