211972488 has 128 divisors (see below), whose sum is σ = 661893120. Its totient is φ = 55077120.

The previous prime is 211972487. The next prime is 211972489. The reversal of 211972488 is 884279112.

It is an interprime number because it is at equal distance from previous prime (211972487) and next prime (211972489).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (211972487) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 154381 + ... + 155747.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2^211972488 is an apocalyptic number.

211972488 is a gapful number since it is divisible by the number (28) 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 211972488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560).

211972488 is an abundant number, since it is smaller than the sum of its proper divisors (449920632).

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

211972488 is a wasteful number, since it uses less digits than its factorization.

211972488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1463 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 211972488 is about 14559.2749819488. The cubic root of 211972488 is about 596.2474011551.

The spelling of 211972488 in words is "two hundred eleven million, nine hundred seventy-two thousand, four hundred eighty-eight".