229429440 has 336 divisors, whose sum is σ = 848746080. Its totient is φ = 56770560.

The previous prime is 229429429. The next prime is 229429457. The reversal of 229429440 is 44924922.

229429440 is a `hidden beast` number, since 229 + 429 + 4 + 4 + 0 = 666.

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 = 229429395 and 229429404.

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, 3424287 + ... + 3424353.

It is an arithmetic number, because the mean of its divisors is an integer number (2526030).

Almost surely, 2^229429440 is an apocalyptic number.

229429440 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 229429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424373040).

229429440 is an abundant number, since it is smaller than the sum of its proper divisors (619316640).

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

229429440 is a wasteful number, since it uses less digits than its factorization.

229429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 229429440 is about 15146.9284014945. The cubic root of 229429440 is about 612.1855134130.

The spelling of 229429440 in words is "two hundred twenty-nine million, four hundred twenty-nine thousand, four hundred forty".