213535440 has 200 divisors, whose sum is σ = 766284288. Its totient is φ = 55054080.

The previous prime is 213535403. The next prime is 213535477. The reversal of 213535440 is 44535312.

213535440 is a `hidden beast` number, since 213 + 5 + 3 + 5 + 440 = 666.

213535440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213535403) and next prime (213535477).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200349 + ... + 201411.

Almost surely, 2^213535440 is an apocalyptic number.

213535440 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 213535440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383142144).

213535440 is an abundant number, since it is smaller than the sum of its proper divisors (552748848).

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

213535440 is a wasteful number, since it uses less digits than its factorization.

213535440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 213535440 is about 14612.8518777137. The cubic root of 213535440 is about 597.7092653548.

The spelling of 213535440 in words is "two hundred thirteen million, five hundred thirty-five thousand, four hundred forty".