228464640 has 288 divisors, whose sum is σ = 825355440. Its totient is φ = 58392576.

The previous prime is 228464629. The next prime is 228464651. The reversal of 228464640 is 46464822.

It is a happy number.

228464640 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 6 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (228464629) and next prime (228464651).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 228464595 and 228464604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3409887 + ... + 3409953.

Almost surely, 2^228464640 is an apocalyptic number.

228464640 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 228464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412677720).

228464640 is an abundant number, since it is smaller than the sum of its proper divisors (596890800).

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

228464640 is a wasteful number, since it uses less digits than its factorization.

228464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 228464640 is about 15115.0468077343. The cubic root of 228464640 is about 611.3261839378.

The spelling of 228464640 in words is "two hundred twenty-eight million, four hundred sixty-four thousand, six hundred forty".