212452240 has 240 divisors, whose sum is σ = 676831680. Its totient is φ = 60963840.

The previous prime is 212452237. The next prime is 212452259. The reversal of 212452240 is 42254212.

212452240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560371 + ... + 560749.

It is an arithmetic number, because the mean of its divisors is an integer number (2820132).

Almost surely, 2^212452240 is an apocalyptic number.

212452240 is a gapful number since it is divisible by the number (20) 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 212452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338415840).

212452240 is an abundant number, since it is smaller than the sum of its proper divisors (464379440).

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

212452240 is a wasteful number, since it uses less digits than its factorization.

212452240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 212452240 is about 14575.7414905726. The cubic root of 212452240 is about 596.6968861377.

The spelling of 212452240 in words is "two hundred twelve million, four hundred fifty-two thousand, two hundred forty".