213914400 has 432 divisors, whose sum is σ = 865632096. Its totient is φ = 45588480.

The previous prime is 213914387. The next prime is 213914401. The reversal of 213914400 is 4419312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (213914401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1999147 + ... + 1999253.

It is an arithmetic number, because the mean of its divisors is an integer number (2003778).

Almost surely, 2^213914400 is an apocalyptic number.

213914400 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 213914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432816048).

213914400 is an abundant number, since it is smaller than the sum of its proper divisors (651717696).

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

213914400 is a wasteful number, since it uses less digits than its factorization.

213914400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 213914400 is about 14625.8127979268. The cubic root of 213914400 is about 598.0626400157.

The spelling of 213914400 in words is "two hundred thirteen million, nine hundred fourteen thousand, four hundred".