213833460 has 48 divisors (see below), whose sum is σ = 601776000. Its totient is φ = 56732544.

The previous prime is 213833449. The next prime is 213833479. The reversal of 213833460 is 64338312.

213833460 is digitally balanced in base 3, 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 (30).

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, 2986 + ... + 20894.

It is an arithmetic number, because the mean of its divisors is an integer number (12537000).

Almost surely, 2^213833460 is an apocalyptic number.

213833460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213833460 is an abundant number, since it is smaller than the sum of its proper divisors (387942540).

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

213833460 is a wasteful number, since it uses less digits than its factorization.

213833460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18120 (or 18118 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 213833460 is about 14623.0455104263. The cubic root of 213833460 is about 597.9871997200.

The spelling of 213833460 in words is "two hundred thirteen million, eight hundred thirty-three thousand, four hundred sixty".