211220460 has 192 divisors, whose sum is σ = 727372800. Its totient is φ = 51088320.

The previous prime is 211220447. The next prime is 211220467. The reversal of 211220460 is 64022112.

It is a super-2 number, since 2×211220460² = 89228165445223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211220467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480921 + ... + 481359.

It is an arithmetic number, because the mean of its divisors is an integer number (3788400).

Almost surely, 2^211220460 is an apocalyptic number.

211220460 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 211220460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363686400).

211220460 is an abundant number, since it is smaller than the sum of its proper divisors (516152340).

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

211220460 is a wasteful number, since it uses less digits than its factorization.

211220460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 211220460 is about 14533.4256113278. The cubic root of 211220460 is about 595.5414509656.

Adding to 211220460 its reverse (64022112), we get a palindrome (275242572).

The spelling of 211220460 in words is "two hundred eleven million, two hundred twenty thousand, four hundred sixty".