210492080 has 80 divisors (see below), whose sum is σ = 500860800. Its totient is φ = 82252800.

The previous prime is 210492047. The next prime is 210492119. The reversal of 210492080 is 80294012.

210492080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880601 + ... + 880839.

It is an arithmetic number, because the mean of its divisors is an integer number (6260760).

Almost surely, 2^210492080 is an apocalyptic number.

210492080 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 210492080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250430400).

210492080 is an abundant number, since it is smaller than the sum of its proper divisors (290368720).

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

210492080 is a wasteful number, since it uses less digits than its factorization.

210492080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 210492080 is about 14508.3451847549. The cubic root of 210492080 is about 594.8561005964.

The spelling of 210492080 in words is "two hundred ten million, four hundred ninety-two thousand, eighty".