212871456 has 192 divisors, whose sum is σ = 722453760. Its totient is φ = 59719680.

The previous prime is 212871443. The next prime is 212871487. The reversal of 212871456 is 654178212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 212871456.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368640 + ... + 369216.

It is an arithmetic number, because the mean of its divisors is an integer number (3762780).

Almost surely, 2^212871456 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 212871456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361226880).

212871456 is an abundant number, since it is smaller than the sum of its proper divisors (509582304).

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

212871456 is a wasteful number, since it uses less digits than its factorization.

212871456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 650 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 212871456 is about 14590.1150098277. The cubic root of 212871456 is about 597.0891006126.

The spelling of 212871456 in words is "two hundred twelve million, eight hundred seventy-one thousand, four hundred fifty-six".