210050400 has 144 divisors (see below), whose sum is σ = 781449984. Its totient is φ = 48007680.

The previous prime is 210050359. The next prime is 210050417. The reversal of 210050400 is 4050012.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10549 + ... + 23051.

It is an arithmetic number, because the mean of its divisors is an integer number (5426736).

Almost surely, 2^210050400 is an apocalyptic number.

210050400 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 210050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390724992).

210050400 is an abundant number, since it is smaller than the sum of its proper divisors (571399584).

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

210050400 is a wasteful number, since it uses less digits than its factorization.

210050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12533 (or 12520 counting only the distinct ones).

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

The square root of 210050400 is about 14493.1156070736. The cubic root of 210050400 is about 594.4397428483.

The spelling of 210050400 in words is "two hundred ten million, fifty thousand, four hundred".