213974400 has 192 divisors, whose sum is σ = 728524800. Its totient is φ = 55142400.

The previous prime is 213974389. The next prime is 213974401. The reversal of 213974400 is 4479312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213974401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297241 + ... + 297959.

It is an arithmetic number, because the mean of its divisors is an integer number (3794400).

Almost surely, 2^213974400 is an apocalyptic number.

213974400 is a gapful number since it is divisible by the number (20) 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 213974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364262400).

213974400 is an abundant number, since it is smaller than the sum of its proper divisors (514550400).

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

213974400 is a wasteful number, since it uses less digits than its factorization.

213974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 213974400 is about 14627.8638221717. The cubic root of 213974400 is about 598.1185508597.

The spelling of 213974400 in words is "two hundred thirteen million, nine hundred seventy-four thousand, four hundred".