210482064 has 225 divisors, whose sum is σ = 681627969. Its totient is φ = 62674560.

The previous prime is 210482047. The next prime is 210482113. The reversal of 210482064 is 460284012.

The square root of 210482064 is 14508.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31136400 + 179345664 = 5580^2 + 13392^2 .

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

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 44 ways as a sum of consecutive naturals, for example, 6789729 + ... + 6789759.

Almost surely, 2^210482064 is an apocalyptic number.

210482064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

210482064 is the 14508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210482064

210482064 is an abundant number, since it is smaller than the sum of its proper divisors (471145905).

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

210482064 is a wasteful number, since it uses less digits than its factorization.

210482064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The cubic root of 210482064 is about 594.8466652878.

The spelling of 210482064 in words is "two hundred ten million, four hundred eighty-two thousand, sixty-four".