227966400 has 210 divisors, whose sum is σ = 838423520. Its totient is φ = 60756480.

The previous prime is 227966399. The next prime is 227966407. The reversal of 227966400 is 4669722.

It is a happy number.

227966400 is a `hidden beast` number, since 2 + 2 + 7 + 9 + 6 + 640 + 0 = 666.

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 (227966407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 128721 + ... + 130479.

Almost surely, 2^227966400 is an apocalyptic number.

227966400 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 227966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419211760).

227966400 is an abundant number, since it is smaller than the sum of its proper divisors (610457120).

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

227966400 is a wasteful number, since it uses less digits than its factorization.

227966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 227966400 is about 15098.5562223678. The cubic root of 227966400 is about 610.8814632682.

The spelling of 227966400 in words is "two hundred twenty-seven million, nine hundred sixty-six thousand, four hundred".