213464304 has 60 divisors (see below), whose sum is σ = 599979952. Its totient is φ = 70848000.

The previous prime is 213464287. The next prime is 213464309. The reversal of 213464304 is 403464312.

213464304 is a `hidden beast` number, since 2 + 13 + 4 + 643 + 0 + 4 = 666.

213464304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×213464304³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213464309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31629 + ... + 37779.

Almost surely, 2^213464304 is an apocalyptic number.

213464304 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 213464304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299989976).

213464304 is an abundant number, since it is smaller than the sum of its proper divisors (386515648).

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

213464304 is a wasteful number, since it uses less digits than its factorization.

213464304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6406 (or 6397 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 213464304 is about 14610.4176531679. The cubic root of 213464304 is about 597.6428854779.

The spelling of 213464304 in words is "two hundred thirteen million, four hundred sixty-four thousand, three hundred four".