210252000 has 192 divisors, whose sum is σ = 787497984. Its totient is φ = 48038400.

The previous prime is 210251969. The next prime is 210252011. The reversal of 210252000 is 252012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82749 + ... + 85251.

It is an arithmetic number, because the mean of its divisors is an integer number (4101552).

Almost surely, 2^210252000 is an apocalyptic number.

210252000 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 210252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393748992).

210252000 is an abundant number, since it is smaller than the sum of its proper divisors (577245984).

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

210252000 is a wasteful number, since it uses less digits than its factorization.

210252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 210252000 is about 14500.0689653532. The cubic root of 210252000 is about 594.6298571150.

Adding to 210252000 its sum of digits (12), we get a palindrome (210252012).

The spelling of 210252000 in words is "two hundred ten million, two hundred fifty-two thousand".