211414896 has 240 divisors, whose sum is σ = 770664960. Its totient is φ = 52462080.

The previous prime is 211414871. The next prime is 211414897. The reversal of 211414896 is 698414112.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 211414896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211414897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254610 + ... + 255438.

It is an arithmetic number, because the mean of its divisors is an integer number (3211104).

Almost surely, 2^211414896 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 211414896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385332480).

211414896 is an abundant number, since it is smaller than the sum of its proper divisors (559250064).

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

211414896 is a wasteful number, since it uses less digits than its factorization.

211414896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 875 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 211414896 is about 14540.1133420617. The cubic root of 211414896 is about 595.7241340016.

The spelling of 211414896 in words is "two hundred eleven million, four hundred fourteen thousand, eight hundred ninety-six".