243629460 has 144 divisors (see below), whose sum is σ = 767095056. Its totient is φ = 62539776.

The previous prime is 243629447. The next prime is 243629461. The reversal of 243629460 is 64926342.

243629460 is a `hidden beast` number, since 24 + 3 + 629 + 4 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2883204 + 240746256 = 1698^2 + 15516^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243629461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045504 + ... + 1045736.

It is an arithmetic number, because the mean of its divisors is an integer number (5327049).

Almost surely, 2^243629460 is an apocalyptic number.

243629460 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 243629460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383547528).

243629460 is an abundant number, since it is smaller than the sum of its proper divisors (523465596).

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

243629460 is a wasteful number, since it uses less digits than its factorization.

243629460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 243629460 is about 15608.6341490856. The cubic root of 243629460 is about 624.5635010876.

The spelling of 243629460 in words is "two hundred forty-three million, six hundred twenty-nine thousand, four hundred sixty".