213779412 has 360 divisors, whose sum is σ = 757014720. Its totient is φ = 51321600.

The previous prime is 213779407. The next prime is 213779417. The reversal of 213779412 is 214977312.

213779412 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 (213779407) and next prime (213779417).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213779417) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5214112 + ... + 5214152.

Almost surely, 2^213779412 is an apocalyptic number.

213779412 is a gapful number since it is divisible by the number (22) 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 213779412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378507360).

213779412 is an abundant number, since it is smaller than the sum of its proper divisors (543235308).

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

213779412 is a wasteful number, since it uses less digits than its factorization.

213779412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 213779412 is about 14621.1973517903. The cubic root of 213779412 is about 597.9368135681.

The spelling of 213779412 in words is "two hundred thirteen million, seven hundred seventy-nine thousand, four hundred twelve".