211465540 has 48 divisors (see below), whose sum is σ = 521720640. Its totient is φ = 70980480.

The previous prime is 211465537. The next prime is 211465543. The reversal of 211465540 is 45564112.

211465540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211465537) and next prime (211465543).

It is a junction number, because it is equal to n+sod(n) for n = 211465499 and 211465508.

It is not an unprimeable number, because it can be changed into a prime (211465543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34110 + ... + 39829.

It is an arithmetic number, because the mean of its divisors is an integer number (10869180).

Almost surely, 2^211465540 is an apocalyptic number.

211465540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211465540 is an abundant number, since it is smaller than the sum of its proper divisors (310255100).

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

211465540 is a wasteful number, since it uses less digits than its factorization.

211465540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73972 (or 73970 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 211465540 is about 14541.8547647816. The cubic root of 211465540 is about 595.7716983642.

The spelling of 211465540 in words is "two hundred eleven million, four hundred sixty-five thousand, five hundred forty".