216436400 has 60 divisors (see below), whose sum is σ = 527381424. Its totient is φ = 85344000.

The previous prime is 216436399. The next prime is 216436403. The reversal of 216436400 is 4634612.

216436400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 216436400.

It is not an unprimeable number, because it can be changed into a prime (216436403) 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, 24590 + ... + 32210.

Almost surely, 2^216436400 is an apocalyptic number.

216436400 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 216436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263690712).

216436400 is an abundant number, since it is smaller than the sum of its proper divisors (310945024).

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

216436400 is a wasteful number, since it uses less digits than its factorization.

216436400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7710 (or 7699 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 216436400 is about 14711.7775948388. Note that the first 3 decimals coincide. The cubic root of 216436400 is about 600.4038022527.

The spelling of 216436400 in words is "two hundred sixteen million, four hundred thirty-six thousand, four hundred".