212916480 has 216 divisors, whose sum is σ = 785975232. Its totient is φ = 48119808.

The previous prime is 212916479. The next prime is 212916481. The reversal of 212916480 is 84619212.

It is an interprime number because it is at equal distance from previous prime (212916479) and next prime (212916481).

It is not an unprimeable number, because it can be changed into a prime (212916481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2392276 + ... + 2392364.

Almost surely, 2^212916480 is an apocalyptic number.

212916480 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 212916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392987616).

212916480 is an abundant number, since it is smaller than the sum of its proper divisors (573058752).

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

212916480 is an frugal number, since it uses more digits than its factorization.

212916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 212916480 is about 14591.6578907265. The cubic root of 212916480 is about 597.1311940040.

The spelling of 212916480 in words is "two hundred twelve million, nine hundred sixteen thousand, four hundred eighty".