216050400 has 216 divisors, whose sum is σ = 783402984. Its totient is φ = 55987200.

The previous prime is 216050383. The next prime is 216050423. The reversal of 216050400 is 4050612.

It is a happy number.

216050400 is a `hidden beast` number, since 2 + 160 + 504 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 265995 + ... + 266805.

Almost surely, 2^216050400 is an apocalyptic number.

216050400 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 216050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391701492).

216050400 is an abundant number, since it is smaller than the sum of its proper divisors (567352584).

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

216050400 is a wasteful number, since it uses less digits than its factorization.

216050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 216050400 is about 14698.6529995099. The cubic root of 216050400 is about 600.0466630375.

The spelling of 216050400 in words is "two hundred sixteen million, fifty thousand, four hundred".