243961920 has 336 divisors, whose sum is σ = 912936960. Its totient is φ = 59609088.

The previous prime is 243961901. The next prime is 243961961. The reversal of 243961920 is 29169342.

243961920 is a `hidden beast` number, since 2 + 4 + 39 + 619 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 1920897 + ... + 1921023.

Almost surely, 2^243961920 is an apocalyptic number.

243961920 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 243961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456468480).

243961920 is an abundant number, since it is smaller than the sum of its proper divisors (668975040).

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

243961920 is a wasteful number, since it uses less digits than its factorization.

243961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 243961920 is about 15619.2803931551. The cubic root of 243961920 is about 624.8474678440.

The spelling of 243961920 in words is "two hundred forty-three million, nine hundred sixty-one thousand, nine hundred twenty".