212449824 has 192 divisors, whose sum is σ = 656208000. Its totient is φ = 66769920.

The previous prime is 212449817. The next prime is 212449837. The reversal of 212449824 is 428944212.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1528347 + ... + 1528485.

It is an arithmetic number, because the mean of its divisors is an integer number (3417750).

Almost surely, 2^212449824 is an apocalyptic number.

212449824 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 212449824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328104000).

212449824 is an abundant number, since it is smaller than the sum of its proper divisors (443758176).

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

212449824 is a wasteful number, since it uses less digits than its factorization.

212449824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 212449824 is about 14575.6586129067. The cubic root of 212449824 is about 596.6946242565.

The spelling of 212449824 in words is "two hundred twelve million, four hundred forty-nine thousand, eight hundred twenty-four".