229978560 has 168 divisors, whose sum is σ = 849569040. Its totient is φ = 52555776.

The previous prime is 229978537. The next prime is 229978571. The reversal of 229978560 is 65879922.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44596 + ... + 49484.

Almost surely, 2^229978560 is an apocalyptic number.

229978560 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 229978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424784520).

229978560 is an abundant number, since it is smaller than the sum of its proper divisors (619590480).

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

229978560 is a wasteful number, since it uses less digits than its factorization.

229978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 229978560 is about 15165.0440157620. The cubic root of 229978560 is about 612.6735290637.

The spelling of 229978560 in words is "two hundred twenty-nine million, nine hundred seventy-eight thousand, five hundred sixty".