211464240 has 80 divisors (see below), whose sum is σ = 705975648. Its totient is φ = 52051968.

The previous prime is 211464221. The next prime is 211464263. The reversal of 211464240 is 42464112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 211464240.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30769 + ... + 37008.

Almost surely, 2^211464240 is an apocalyptic number.

211464240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211464240 is an abundant number, since it is smaller than the sum of its proper divisors (494511408).

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

211464240 is a wasteful number, since it uses less digits than its factorization.

211464240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67806 (or 67800 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 211464240 is about 14541.8100661506. The cubic root of 211464240 is about 595.7704775115.

The spelling of 211464240 in words is "two hundred eleven million, four hundred sixty-four thousand, two hundred forty".