213353440 has 96 divisors (see below), whose sum is σ = 520097760. Its totient is φ = 82673664.

The previous prime is 213353431. The next prime is 213353453. The reversal of 213353440 is 44353312.

213353440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 915564 + ... + 915796.

It is an arithmetic number, because the mean of its divisors is an integer number (5417685).

Almost surely, 2^213353440 is an apocalyptic number.

213353440 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 213353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260048880).

213353440 is an abundant number, since it is smaller than the sum of its proper divisors (306744320).

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

213353440 is a wasteful number, since it uses less digits than its factorization.

213353440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 213353440 is about 14606.6231552676. The cubic root of 213353440 is about 597.5394043911.

The spelling of 213353440 in words is "two hundred thirteen million, three hundred fifty-three thousand, four hundred forty".