228696458400 has 576 divisors, whose sum is σ = 851233017600. Its totient is φ = 59222016000.

The previous prime is 228696458369. The next prime is 228696458407. The reversal of 228696458400 is 4854696822.

228696458400 is a `hidden beast` number, since 22 + 86 + 96 + 4 + 58 + 400 = 666.

228696458400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (228696458407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248853141 + ... + 248854059.

It is an arithmetic number, because the mean of its divisors is an integer number (1477835100).

Almost surely, 2^228696458400 is an apocalyptic number.

228696458400 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 228696458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425616508800).

228696458400 is an abundant number, since it is smaller than the sum of its proper divisors (622536559200).

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

228696458400 is a wasteful number, since it uses less digits than its factorization.

228696458400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 228696458400 in words is "two hundred twenty-eight billion, six hundred ninety-six million, four hundred fifty-eight thousand, four hundred".