210045000 has 320 divisors, whose sum is σ = 764755200. Its totient is φ = 47520000.

The previous prime is 210044951. The next prime is 210045001. The reversal of 210045000 is 540012.

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

It is not an unprimeable number, because it can be changed into a prime (210045001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3134967 + ... + 3135033.

It is an arithmetic number, because the mean of its divisors is an integer number (2389860).

Almost surely, 2^210045000 is an apocalyptic number.

210045000 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 210045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382377600).

210045000 is an abundant number, since it is smaller than the sum of its proper divisors (554710200).

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

210045000 is a wasteful number, since it uses less digits than its factorization.

210045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

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

The square root of 210045000 is about 14492.9293105293. The cubic root of 210045000 is about 594.4346488294.

Adding to 210045000 its reverse (540012), we get a palindrome (210585012).

The spelling of 210045000 in words is "two hundred ten million, forty-five thousand".