216494400 has 336 divisors, whose sum is σ = 775557504. Its totient is φ = 52715520.

The previous prime is 216494393. The next prime is 216494413. The reversal of 216494400 is 4494612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4084774 + ... + 4084826.

Almost surely, 2^216494400 is an apocalyptic number.

216494400 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 216494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387778752).

216494400 is an abundant number, since it is smaller than the sum of its proper divisors (559063104).

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

216494400 is a wasteful number, since it uses less digits than its factorization.

216494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 216494400 is about 14713.7486725851. The cubic root of 216494400 is about 600.4574289537.

The spelling of 216494400 in words is "two hundred sixteen million, four hundred ninety-four thousand, four hundred".