216431040 has 336 divisors, whose sum is σ = 825593472. Its totient is φ = 47867904.

The previous prime is 216431027. The next prime is 216431051. The reversal of 216431040 is 40134612.

216431040 = T₂₁ + T₂₂ + ... + T₁₀₉₀.

216431040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 216430998 and 216431016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2022667 + ... + 2022773.

Almost surely, 2^216431040 is an apocalyptic number.

216431040 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 216431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412796736).

216431040 is an abundant number, since it is smaller than the sum of its proper divisors (609162432).

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

216431040 is a wasteful number, since it uses less digits than its factorization.

216431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 216431040 is about 14711.5954267374. The cubic root of 216431040 is about 600.3988459222.

Adding to 216431040 its reverse (40134612), we get a palindrome (256565652).

The spelling of 216431040 in words is "two hundred sixteen million, four hundred thirty-one thousand, forty".