213006430 has 128 divisors (see below), whose sum is σ = 511660800. Its totient is φ = 63221760.

The previous prime is 213006407. The next prime is 213006457. The reversal of 213006430 is 34600312.

213006430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213006398 and 213006407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 757890 + ... + 758170.

It is an arithmetic number, because the mean of its divisors is an integer number (3997350).

Almost surely, 2^213006430 is an apocalyptic number.

213006430 is an abundant number, since it is smaller than the sum of its proper divisors (298654370).

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

213006430 is a wasteful number, since it uses less digits than its factorization.

213006430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 213006430 is about 14594.7398058342. The cubic root of 213006430 is about 597.2152713988.

Adding to 213006430 its reverse (34600312), we get a palindrome (247606742).

It can be divided in two parts, 21300 and 6430, that added together give a triangular number (27730 = T₂₃₅).

The spelling of 213006430 in words is "two hundred thirteen million, six thousand, four hundred thirty".