212461500 has 96 divisors (see below), whose sum is σ = 623750400. Its totient is φ = 56193600.

The previous prime is 212461451. The next prime is 212461517. The reversal of 212461500 is 5164212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207991 + ... + 209009.

It is an arithmetic number, because the mean of its divisors is an integer number (6497400).

Almost surely, 2^212461500 is an apocalyptic number.

212461500 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 212461500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311875200).

212461500 is an abundant number, since it is smaller than the sum of its proper divisors (411288900).

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

212461500 is a wasteful number, since it uses less digits than its factorization.

212461500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 212461500 is about 14576.0591381896. The cubic root of 212461500 is about 596.7055552749.

The spelling of 212461500 in words is "two hundred twelve million, four hundred sixty-one thousand, five hundred".