213742464 has 128 divisors (see below), whose sum is σ = 625121280. Its totient is φ = 64296960.

The previous prime is 213742433. The next prime is 213742483. The reversal of 213742464 is 464247312.

213742464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234169 + ... + 235079.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2^213742464 is an apocalyptic number.

213742464 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 213742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312560640).

213742464 is an abundant number, since it is smaller than the sum of its proper divisors (411378816).

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

213742464 is a wasteful number, since it uses less digits than its factorization.

213742464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 976 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 213742464 is about 14619.9337891798. The cubic root of 213742464 is about 597.9023639735.

Adding to 213742464 its reverse (464247312), we get a palindrome (677989776).

The spelling of 213742464 in words is "two hundred thirteen million, seven hundred forty-two thousand, four hundred sixty-four".