228766464 has 144 divisors (see below), whose sum is σ = 706406400. Its totient is φ = 72889344.

The previous prime is 228766459. The next prime is 228766469. The reversal of 228766464 is 464667822.

It is an interprime number because it is at equal distance from previous prime (228766459) and next prime (228766469).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (228766469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158257 + ... + 159695.

It is an arithmetic number, because the mean of its divisors is an integer number (4905600).

Almost surely, 2^228766464 is an apocalyptic number.

228766464 is a gapful number since it is divisible by the number (24) 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 228766464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353203200).

228766464 is an abundant number, since it is smaller than the sum of its proper divisors (477639936).

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

228766464 is a wasteful number, since it uses less digits than its factorization.

228766464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1467 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 228766464 is about 15125.0277355118. The cubic root of 228766464 is about 611.5952725818.

The spelling of 228766464 in words is "two hundred twenty-eight million, seven hundred sixty-six thousand, four hundred sixty-four".