213040464 has 320 divisors, whose sum is σ = 759951360. Its totient is φ = 49766400.

The previous prime is 213040459. The next prime is 213040489. The reversal of 213040464 is 464040312.

213040464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1410789 + ... + 1410939.

It is an arithmetic number, because the mean of its divisors is an integer number (2374848).

Almost surely, 2^213040464 is an apocalyptic number.

213040464 is a gapful number since it is divisible by the number (24) 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 213040464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379975680).

213040464 is an abundant number, since it is smaller than the sum of its proper divisors (546910896).

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

213040464 is a wasteful number, since it uses less digits than its factorization.

213040464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 213040464 is about 14595.9057272922. The cubic root of 213040464 is about 597.2470772338.

Adding to 213040464 its reverse (464040312), we get a palindrome (677080776).

The spelling of 213040464 in words is "two hundred thirteen million, forty thousand, four hundred sixty-four".