210506472 has 128 divisors (see below), whose sum is σ = 671616000. Its totient is φ = 60419520.

The previous prime is 210506383. The next prime is 210506473. The reversal of 210506472 is 274605012.

210506472 is a `hidden beast` number, since 2 + 10 + 5 + 0 + 647 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (210506473) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 42813 + ... + 47475.

It is an arithmetic number, because the mean of its divisors is an integer number (5247000).

Almost surely, 2^210506472 is an apocalyptic number.

210506472 is a gapful number since it is divisible by the number (22) 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 210506472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335808000).

210506472 is an abundant number, since it is smaller than the sum of its proper divisors (461109528).

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

210506472 is a wasteful number, since it uses less digits than its factorization.

210506472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 210506472 is about 14508.8411666818. The cubic root of 210506472 is about 594.8696576764.

The spelling of 210506472 in words is "two hundred ten million, five hundred six thousand, four hundred seventy-two".