228260894400 has 1008 divisors, whose sum is σ = 1056050801280. Its totient is φ = 47425996800.

The previous prime is 228260894347. The next prime is 228260894419. The reversal of 228260894400 is 4498062822.

228260894400 is a `hidden beast` number, since 22 + 82 + 60 + 8 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×228260894400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23279899 + ... + 23289701.

Almost surely, 2^228260894400 is an apocalyptic number.

228260894400 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 228260894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528025400640).

228260894400 is an abundant number, since it is smaller than the sum of its proper divisors (827789906880).

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

228260894400 is a wasteful number, since it uses less digits than its factorization.

228260894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9859 (or 9831 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 228260894400 in words is "two hundred twenty-eight billion, two hundred sixty million, eight hundred ninety-four thousand, four hundred".