213460000 has 120 divisors (see below), whose sum is σ = 566228124. Its totient is φ = 78720000.

The previous prime is 213459989. The next prime is 213460019. The reversal of 213460000 is 64312.

It can be written as a sum of positive squares in 10 ways, for example, as 67436944 + 146023056 = 8212^2 + 12084^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259590 + ... + 260410.

Almost surely, 2^213460000 is an apocalyptic number.

213460000 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 213460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283114062).

213460000 is an abundant number, since it is smaller than the sum of its proper divisors (352768124).

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

213460000 is an equidigital number, since it uses as much as digits as its factorization.

213460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 213460000 is about 14610.2703602637. The cubic root of 213460000 is about 597.6388687684.

The spelling of 213460000 in words is "two hundred thirteen million, four hundred sixty thousand".