243214920 has 256 divisors, whose sum is σ = 925344000. Its totient is φ = 56291328.

The previous prime is 243214897. The next prime is 243214927. The reversal of 243214920 is 29412342.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (243214927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238171 + ... + 239189.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2^243214920 is an apocalyptic number.

243214920 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 243214920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462672000).

243214920 is an abundant number, since it is smaller than the sum of its proper divisors (682129080).

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

243214920 is a wasteful number, since it uses less digits than its factorization.

243214920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 243214920 is about 15595.3493067645. The cubic root of 243214920 is about 624.2090645627.

It can be divided in two parts, 24321 and 4920, that added together give a square (29241 = 171²).

The spelling of 243214920 in words is "two hundred forty-three million, two hundred fourteen thousand, nine hundred twenty".