227630400 has 168 divisors, whose sum is σ = 763463040. Its totient is φ = 59351040.

The previous prime is 227630383. The next prime is 227630407. The reversal of 227630400 is 4036722.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227630407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225096 + ... + 226104.

Almost surely, 2^227630400 is an apocalyptic number.

227630400 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 227630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381731520).

227630400 is an abundant number, since it is smaller than the sum of its proper divisors (535832640).

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

227630400 is a wasteful number, since it uses less digits than its factorization.

227630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 227630400 is about 15087.4252276523. The cubic root of 227630400 is about 610.5811893437.

The spelling of 227630400 in words is "two hundred twenty-seven million, six hundred thirty thousand, four hundred".