212461040 has 160 divisors (see below), whose sum is σ = 577463040. Its totient is φ = 71884800.

The previous prime is 212461031. The next prime is 212461049. The reversal of 212461040 is 40164212.

212461040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212461031) and next prime (212461049).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212461049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1621775 + ... + 1621905.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2^212461040 is an apocalyptic number.

212461040 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 212461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288731520).

212461040 is an abundant number, since it is smaller than the sum of its proper divisors (365002000).

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

212461040 is a wasteful number, since it uses less digits than its factorization.

212461040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 212461040 is about 14576.0433588817. The cubic root of 212461040 is about 596.7051246326.

The spelling of 212461040 in words is "two hundred twelve million, four hundred sixty-one thousand, forty".