213374304 has 288 divisors, whose sum is σ = 741373920. Its totient is φ = 59304960.

The previous prime is 213374281. The next prime is 213374309. The reversal of 213374304 is 403473312.

213374304 is a `hidden beast` number, since 21 + 337 + 4 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213374309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1358994 + ... + 1359150.

It is an arithmetic number, because the mean of its divisors is an integer number (2574215).

Almost surely, 2^213374304 is an apocalyptic number.

213374304 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 213374304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370686960).

213374304 is an abundant number, since it is smaller than the sum of its proper divisors (527999616).

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

213374304 is a wasteful number, since it uses less digits than its factorization.

213374304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 213374304 is about 14607.3373343673. The cubic root of 213374304 is about 597.5588817050.

The spelling of 213374304 in words is "two hundred thirteen million, three hundred seventy-four thousand, three hundred four".