243646416 has 120 divisors (see below), whose sum is σ = 739891880. Its totient is φ = 74400768.

The previous prime is 243646411. The next prime is 243646423. The reversal of 243646416 is 614646342.

243646416 is a `hidden beast` number, since 2 + 4 + 3 + 6 + 4 + 641 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 239630400 = 2004^2 + 15480^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243646411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293490 + ... + 294318.

Almost surely, 2^243646416 is an apocalyptic number.

243646416 is a gapful number since it is divisible by the number (26) 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 243646416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369945940).

243646416 is an abundant number, since it is smaller than the sum of its proper divisors (496245464).

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

243646416 is a wasteful number, since it uses less digits than its factorization.

243646416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1004 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 243646416 is about 15609.1773005498. The cubic root of 243646416 is about 624.5779901030.

The spelling of 243646416 in words is "two hundred forty-three million, six hundred forty-six thousand, four hundred sixteen".