227942400 has 336 divisors, whose sum is σ = 877604544. Its totient is φ = 51118080.

The previous prime is 227942389. The next prime is 227942401. The reversal of 227942400 is 4249722.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (227942401) 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, 4300774 + ... + 4300826.

Almost surely, 2^227942400 is an apocalyptic number.

227942400 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 227942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438802272).

227942400 is an abundant number, since it is smaller than the sum of its proper divisors (649662144).

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

227942400 is an equidigital number, since it uses as much as digits as its factorization.

227942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 227942400 is about 15097.7614234694. The cubic root of 227942400 is about 610.8600249193.

The spelling of 227942400 in words is "two hundred twenty-seven million, nine hundred forty-two thousand, four hundred".