213414840 has 192 divisors, whose sum is σ = 748893600. Its totient is φ = 52531200.

The previous prime is 213414833. The next prime is 213414847. The reversal of 213414840 is 48414312.

It is an interprime number because it is at equal distance from previous prime (213414833) and next prime (213414847).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213414847) 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, 280060 + ... + 280820.

Almost surely, 2^213414840 is an apocalyptic number.

213414840 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 213414840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374446800).

213414840 is an abundant number, since it is smaller than the sum of its proper divisors (535478760).

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

213414840 is a wasteful number, since it uses less digits than its factorization.

213414840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 213414840 is about 14608.7247903436. The cubic root of 213414840 is about 597.5967199274.

The spelling of 213414840 in words is "two hundred thirteen million, four hundred fourteen thousand, eight hundred forty".