210450000 has 240 divisors, whose sum is σ = 720703872. Its totient is φ = 52800000.

The previous prime is 210449971. The next prime is 210450001. The reversal of 210450000 is 54012.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210450001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3449970 + ... + 3450030.

Almost surely, 2^210450000 is an apocalyptic number.

210450000 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 210450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360351936).

210450000 is an abundant number, since it is smaller than the sum of its proper divisors (510253872).

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

210450000 is an equidigital number, since it uses as much as digits as its factorization.

210450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

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

The square root of 210450000 is about 14506.8949124201. The cubic root of 210450000 is about 594.8164582293.

The spelling of 210450000 in words is "two hundred ten million, four hundred fifty thousand".