229884480 has 420 divisors, whose sum is σ = 956503548. Its totient is φ = 52254720.

The previous prime is 229884469. The next prime is 229884491. The reversal of 229884480 is 84488922.

It is a happy number.

229884480 is a `hidden beast` number, since 2 + 2 + 98 + 84 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (229884469) and next prime (229884491).

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 199148544 = 5544^2 + 14112^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1269990 + ... + 1270170.

Almost surely, 2^229884480 is an apocalyptic number.

229884480 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 229884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478251774).

229884480 is an abundant number, since it is smaller than the sum of its proper divisors (726619068).

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

229884480 is a wasteful number, since it uses less digits than its factorization.

229884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 229884480 is about 15161.9418281433. The cubic root of 229884480 is about 612.5899731773.

The spelling of 229884480 in words is "two hundred twenty-nine million, eight hundred eighty-four thousand, four hundred eighty".