213529464 has 24 divisors (see below), whose sum is σ = 578309160. Its totient is φ = 71176464.

The previous prime is 213529441. The next prime is 213529471. The reversal of 213529464 is 464925312.

It is a happy number.

213529464 is digitally balanced in base 3, 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 (24).

It is a super-2 number, since 2×213529464² = 91189663992254592, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1482772 + ... + 1482915.

It is an arithmetic number, because the mean of its divisors is an integer number (24096215).

Almost surely, 2^213529464 is an apocalyptic number.

213529464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213529464 is an abundant number, since it is smaller than the sum of its proper divisors (364779696).

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

213529464 is a wasteful number, since it uses less digits than its factorization.

213529464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965699 (or 2965692 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 213529464 is about 14612.6473987433. The cubic root of 213529464 is about 597.7036894749.

The spelling of 213529464 in words is "two hundred thirteen million, five hundred twenty-nine thousand, four hundred sixty-four".