227616480 has 480 divisors, whose sum is σ = 993795264. Its totient is φ = 47775744.

The previous prime is 227616479. The next prime is 227616481. The reversal of 227616480 is 84616722.

227616480 is a `hidden beast` number, since 2 + 2 + 7 + 6 + 1 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (227616479) and next prime (227616481).

It is a tau number, because it is divible by the number of its divisors (480).

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 (227616481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1179264 + ... + 1179456.

Almost surely, 2^227616480 is an apocalyptic number.

227616480 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 227616480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496897632).

227616480 is an abundant number, since it is smaller than the sum of its proper divisors (766178784).

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

227616480 is a wasteful number, since it uses less digits than its factorization.

227616480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

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

The square root of 227616480 is about 15086.9639092827. The cubic root of 227616480 is about 610.5687430515.

It can be divided in two parts, 22761 and 6480, that added together give a square (29241 = 171²).

The spelling of 227616480 in words is "two hundred twenty-seven million, six hundred sixteen thousand, four hundred eighty".