212980416 has 112 divisors (see below), whose sum is σ = 634764288. Its totient is φ = 62438400.

The previous prime is 212980409. The next prime is 212980421. The reversal of 212980416 is 614089212.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63846 + ... + 67098.

Almost surely, 2^212980416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317382144).

212980416 is an abundant number, since it is smaller than the sum of its proper divisors (421783872).

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

212980416 is a wasteful number, since it uses less digits than its factorization.

212980416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3300 counting only the distinct ones).

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

The square root of 212980416 is about 14593.8485671190. The cubic root of 212980416 is about 597.1909582195.

The spelling of 212980416 in words is "two hundred twelve million, nine hundred eighty thousand, four hundred sixteen".