228753360 has 240 divisors, whose sum is σ = 887889600. Its totient is φ = 52162560.

The previous prime is 228753347. The next prime is 228753361. The reversal of 228753360 is 63357822.

228753360 is a `hidden beast` number, since 228 + 75 + 3 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×228753360² = 104656199422579200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228753361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133791 + ... + 135489.

It is an arithmetic number, because the mean of its divisors is an integer number (3699540).

Almost surely, 2^228753360 is an apocalyptic number.

228753360 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 228753360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443944800).

228753360 is an abundant number, since it is smaller than the sum of its proper divisors (659136240).

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

228753360 is a wasteful number, since it uses less digits than its factorization.

228753360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 228753360 is about 15124.5945400199. The cubic root of 228753360 is about 611.5835947374.

The spelling of 228753360 in words is "two hundred twenty-eight million, seven hundred fifty-three thousand, three hundred sixty".