216486400 has 120 divisors (see below), whose sum is σ = 578064564. Its totient is φ = 79872000.

The previous prime is 216486379. The next prime is 216486401. The reversal of 216486400 is 4684612.

It can be written as a sum of positive squares in 6 ways, for example, as 1218816 + 215267584 = 1104^2 + 14672^2 .

It is a super-2 number, since 2×216486400² = 93732722769920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216486401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165750 + ... + 167050.

Almost surely, 2^216486400 is an apocalyptic number.

216486400 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 216486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289032282).

216486400 is an abundant number, since it is smaller than the sum of its proper divisors (361578164).

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

216486400 is a wasteful number, since it uses less digits than its factorization.

216486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 216486400 is about 14713.4768154913. The cubic root of 216486400 is about 600.4500327369.

The spelling of 216486400 in words is "two hundred sixteen million, four hundred eighty-six thousand, four hundred".