229753440 has 288 divisors, whose sum is σ = 935940096. Its totient is φ = 50181120.

The previous prime is 229753421. The next prime is 229753441. The reversal of 229753440 is 44357922.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 229753395 and 229753404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229753441) 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, 231345 + ... + 232335.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2^229753440 is an apocalyptic number.

229753440 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 229753440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467970048).

229753440 is an abundant number, since it is smaller than the sum of its proper divisors (706186656).

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

229753440 is a wasteful number, since it uses less digits than its factorization.

229753440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 229753440 is about 15157.6198659288. The cubic root of 229753440 is about 612.4735537658.

The spelling of 229753440 in words is "two hundred twenty-nine million, seven hundred fifty-three thousand, four hundred forty".