216454400 has 108 divisors (see below), whose sum is σ = 553547904. Its totient is φ = 83712000.

The previous prime is 216454367. The next prime is 216454409. The reversal of 216454400 is 4454612.

It is a self number, because there is not a number n which added to its sum of digits gives 216454400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216454409) 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, 197855 + ... + 198945.

Almost surely, 2^216454400 is an apocalyptic number.

216454400 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 216454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276773952).

216454400 is an abundant number, since it is smaller than the sum of its proper divisors (337093504).

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

216454400 is a wasteful number, since it uses less digits than its factorization.

216454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 216454400 is about 14712.3893368820. The cubic root of 216454400 is about 600.4204460471.

The spelling of 216454400 in words is "two hundred sixteen million, four hundred fifty-four thousand, four hundred".