212380440 has 128 divisors (see below), whose sum is σ = 661478400. Its totient is φ = 54512640.

The previous prime is 212380403. The next prime is 212380453. The reversal of 212380440 is 44083212.

212380440 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212380440.

It is a congruent number.

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, 407380 + ... + 407900.

It is an arithmetic number, because the mean of its divisors is an integer number (5167800).

Almost surely, 2^212380440 is an apocalyptic number.

212380440 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 212380440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330739200).

212380440 is an abundant number, since it is smaller than the sum of its proper divisors (449097960).

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

212380440 is a wasteful number, since it uses less digits than its factorization.

212380440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 212380440 is about 14573.2782859589. The cubic root of 212380440 is about 596.6296590067.

The spelling of 212380440 in words is "two hundred twelve million, three hundred eighty thousand, four hundred forty".