213968400 has 60 divisors (see below), whose sum is σ = 685415952. Its totient is φ = 57057920.

The previous prime is 213968383. The next prime is 213968407. The reversal of 213968400 is 4869312.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (213968407) 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, 87954 + ... + 90353.

Almost surely, 2^213968400 is an apocalyptic number.

213968400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213968400 is an abundant number, since it is smaller than the sum of its proper divisors (471447552).

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

213968400 is a wasteful number, since it uses less digits than its factorization.

213968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178328 (or 178317 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 213968400 is about 14627.6587326886. The cubic root of 213968400 is about 598.1129602457.

The spelling of 213968400 in words is "two hundred thirteen million, nine hundred sixty-eight thousand, four hundred".