213754420 has 48 divisors (see below), whose sum is σ = 492000768. Its totient is φ = 77362560.

The previous prime is 213754417. The next prime is 213754423. The reversal of 213754420 is 24457312.

213754420 is digitally balanced in base 2, 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 (213754417) and next prime (213754423).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213754423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46882 + ... + 51238.

It is an arithmetic number, because the mean of its divisors is an integer number (10250016).

Almost surely, 2^213754420 is an apocalyptic number.

213754420 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 213754420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246000384).

213754420 is an abundant number, since it is smaller than the sum of its proper divisors (278246348).

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

213754420 is a wasteful number, since it uses less digits than its factorization.

213754420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 213754420 is about 14620.3426772426. The cubic root of 213754420 is about 597.9135119492.

The spelling of 213754420 in words is "two hundred thirteen million, seven hundred fifty-four thousand, four hundred twenty".