212582480 has 60 divisors (see below), whose sum is σ = 543295956. Its totient is φ = 77299200.

The previous prime is 212582479. The next prime is 212582521. The reversal of 212582480 is 84285212.

212582480 = T₂₀₇ + T₂₀₈ + ... + T₁₀₈₆.

It can be written as a sum of positive squares in 2 ways, for example, as 123921424 + 88661056 = 11132^2 + 9416^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1301 + ... + 20660.

Almost surely, 2^212582480 is an apocalyptic number.

212582480 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 212582480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271647978).

212582480 is an abundant number, since it is smaller than the sum of its proper divisors (330713476).

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

212582480 is a wasteful number, since it uses less digits than its factorization.

212582480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21996 (or 21979 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 212582480 is about 14580.2085033102. The cubic root of 212582480 is about 596.8187926385.

The spelling of 212582480 in words is "two hundred twelve million, five hundred eighty-two thousand, four hundred eighty".