210049840 has 320 divisors, whose sum is σ = 681956352. Its totient is φ = 58060800.

The previous prime is 210049837. The next prime is 210049849. The reversal of 210049840 is 48940012.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 210049799 and 210049808.

It is not an unprimeable number, because it can be changed into a prime (210049849) 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 63 ways as a sum of consecutive naturals, for example, 3443410 + ... + 3443470.

Almost surely, 2^210049840 is an apocalyptic number.

210049840 is a gapful number since it is divisible by the number (20) 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 210049840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340978176).

210049840 is an abundant number, since it is smaller than the sum of its proper divisors (471906512).

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

210049840 is a wasteful number, since it uses less digits than its factorization.

210049840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 210049840 is about 14493.0962875433. The cubic root of 210049840 is about 594.4392145838.

Adding to 210049840 its reverse (48940012), we get a palindrome (258989852).

The spelling of 210049840 in words is "two hundred ten million, forty-nine thousand, eight hundred forty".