213480 has 48 divisors (see below), whose sum is σ = 694980. Its totient is φ = 56832.

The previous prime is 213467. The next prime is 213481. The reversal of 213480 is 84312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 36 = 462^2 + 6^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213481) by changing a digit.

213480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64 + ... + 656.

2²¹³⁴⁸⁰ is an apocalyptic number.

213480 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 213480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347490).

213480 is an abundant number, since it is smaller than the sum of its proper divisors (481500).

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

213480 is a wasteful number, since it uses less digits than its factorization.

213480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 213480 is about 462.0389593963. The cubic root of 213480 is about 59.7657533318.

Adding to 213480 its reverse (84312), we get a palindrome (297792).

The spelling of 213480 in words is "two hundred thirteen thousand, four hundred eighty".