221460480 has 288 divisors, whose sum is σ = 804913200. Its totient is φ = 58392576.

The previous prime is 221460469. The next prime is 221460487. The reversal of 221460480 is 84064122.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221460487) 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, 2488276 + ... + 2488364.

Almost surely, 2^221460480 is an apocalyptic number.

221460480 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 221460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402456600).

221460480 is an abundant number, since it is smaller than the sum of its proper divisors (583452720).

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

221460480 is an frugal number, since it uses more digits than its factorization.

221460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 221460480 is about 14881.5483065439. The cubic root of 221460480 is about 605.0139832389.

The spelling of 221460480 in words is "two hundred twenty-one million, four hundred sixty thousand, four hundred eighty".