213482304 has 336 divisors, whose sum is σ = 758878848. Its totient is φ = 58226688.

The previous prime is 213482287. The next prime is 213482317. The reversal of 213482304 is 403284312.

213482304 = 117³ + 118³ + ... + 179³.

213482304 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 (336).

It is a super-2 number, since 2×213482304² = 91149388242296832, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4027942 + ... + 4027994.

It is an arithmetic number, because the mean of its divisors is an integer number (2258568).

Almost surely, 2^213482304 is an apocalyptic number.

213482304 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 213482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379439424).

213482304 is an abundant number, since it is smaller than the sum of its proper divisors (545396544).

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

213482304 is an equidigital number, since it uses as much as digits as its factorization.

213482304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 213482304 is about 14611.0336390004. The cubic root of 213482304 is about 597.6596833990.

The spelling of 213482304 in words is "two hundred thirteen million, four hundred eighty-two thousand, three hundred four".