213949440 has 132 divisors (see below), whose sum is σ = 741488904. Its totient is φ = 57040896.

The previous prime is 213949423. The next prime is 213949441. The reversal of 213949440 is 44949312.

213949440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 213949395 and 213949404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213949441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43759 + ... + 48401.

Almost surely, 2^213949440 is an apocalyptic number.

213949440 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 213949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370744452).

213949440 is an abundant number, since it is smaller than the sum of its proper divisors (527539464).

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

213949440 is a wasteful number, since it uses less digits than its factorization.

213949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 4653 counting only the distinct ones).

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

The square root of 213949440 is about 14627.0106310210. The cubic root of 213949440 is about 598.0952932184.

The spelling of 213949440 in words is "two hundred thirteen million, nine hundred forty-nine thousand, four hundred forty".