213449940 has 144 divisors (see below), whose sum is σ = 717312960. Its totient is φ = 50941440.

The previous prime is 213449939. The next prime is 213449941. The reversal of 213449940 is 49944312.

It is an interprime number because it is at equal distance from previous prime (213449939) and next prime (213449941).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213449895 and 213449904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213449941) 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, 131856 + ... + 133464.

It is an arithmetic number, because the mean of its divisors is an integer number (4981340).

Almost surely, 2^213449940 is an apocalyptic number.

213449940 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 213449940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358656480).

213449940 is an abundant number, since it is smaller than the sum of its proper divisors (503863020).

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

213449940 is a wasteful number, since it uses less digits than its factorization.

213449940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 213449940 is about 14609.9260778417. The cubic root of 213449940 is about 597.6294800594.

The spelling of 213449940 in words is "two hundred thirteen million, four hundred forty-nine thousand, nine hundred forty".