229591440 has 240 divisors, whose sum is σ = 874735680. Its totient is φ = 53498880.

The previous prime is 229591399. The next prime is 229591499. The reversal of 229591440 is 44195922.

229591440 is a `hidden beast` number, since 2 + 29 + 591 + 4 + 40 = 666.

229591440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 229591395 and 229591404.

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, 177195 + ... + 178485.

It is an arithmetic number, because the mean of its divisors is an integer number (3644732).

Almost surely, 2^229591440 is an apocalyptic number.

229591440 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 229591440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437367840).

229591440 is an abundant number, since it is smaller than the sum of its proper divisors (645144240).

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

229591440 is a wasteful number, since it uses less digits than its factorization.

229591440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 229591440 is about 15152.2750767005. The cubic root of 229591440 is about 612.3295674630.

The spelling of 229591440 in words is "two hundred twenty-nine million, five hundred ninety-one thousand, four hundred forty".