211920460 has 48 divisors (see below), whose sum is σ = 463440096. Its totient is φ = 81326592.

The previous prime is 211920437. The next prime is 211920461. The reversal of 211920460 is 64029112.

It is a super-2 number, since 2×211920460² = 89820562733223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211920461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52059 + ... + 55981.

It is an arithmetic number, because the mean of its divisors is an integer number (9655002).

Almost surely, 2^211920460 is an apocalyptic number.

211920460 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 211920460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231720048).

211920460 is an abundant number, since it is smaller than the sum of its proper divisors (251519636).

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

211920460 is a wasteful number, since it uses less digits than its factorization.

211920460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 211920460 is about 14557.4881074999. The cubic root of 211920460 is about 596.1986147953.

Adding to 211920460 its reverse (64029112), we get a palindrome (275949572).

The spelling of 211920460 in words is "two hundred eleven million, nine hundred twenty thousand, four hundred sixty".