211456920 has 32 divisors (see below), whose sum is σ = 634371120. Its totient is φ = 56388480.

The previous prime is 211456919. The next prime is 211456937. The reversal of 211456920 is 29654112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 880951 + ... + 881190.

Almost surely, 2^211456920 is an apocalyptic number.

211456920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211456920 is an abundant number, since it is smaller than the sum of its proper divisors (422914200).

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

211456920 is a wasteful number, since it uses less digits than its factorization.

211456920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762155 (or 1762151 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 211456920 is about 14541.5583759101. The cubic root of 211456920 is about 595.7636030786.

The spelling of 211456920 in words is "two hundred eleven million, four hundred fifty-six thousand, nine hundred twenty".