229290480 has 320 divisors, whose sum is σ = 859468800. Its totient is φ = 55987200.

The previous prime is 229290449. The next prime is 229290497. The reversal of 229290480 is 84092922.

229290480 is a `hidden beast` number, since 2 + 2 + 92 + 90 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1518405 + ... + 1518555.

It is an arithmetic number, because the mean of its divisors is an integer number (2685840).

Almost surely, 2^229290480 is an apocalyptic number.

229290480 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 229290480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429734400).

229290480 is an abundant number, since it is smaller than the sum of its proper divisors (630178320).

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

229290480 is a wasteful number, since it uses less digits than its factorization.

229290480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 229290480 is about 15142.3406380916. The cubic root of 229290480 is about 612.0618930099.

The spelling of 229290480 in words is "two hundred twenty-nine million, two hundred ninety thousand, four hundred eighty".