227940480 has 160 divisors (see below), whose sum is σ = 814201740. Its totient is φ = 60770304.

The previous prime is 227940467. The next prime is 227940487. The reversal of 227940480 is 84049722.

It can be written as a sum of positive squares in 2 ways, for example, as 226442304 + 1498176 = 15048^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (227940487) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49642 + ... + 54038.

Almost surely, 2^227940480 is an apocalyptic number.

227940480 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 227940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407100870).

227940480 is an abundant number, since it is smaller than the sum of its proper divisors (586261260).

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

227940480 is an equidigital number, since it uses as much as digits as its factorization.

227940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4428 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 227940480 is about 15097.6978377500. The cubic root of 227940480 is about 610.8583097864.

The spelling of 227940480 in words is "two hundred twenty-seven million, nine hundred forty thousand, four hundred eighty".