221064480 has 432 divisors, whose sum is σ = 948972024. Its totient is φ = 46448640.

The previous prime is 221064451. The next prime is 221064491. The reversal of 221064480 is 84460122.

221064480 is a `hidden beast` number, since 2 + 2 + 10 + 644 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 165173904 + 55890576 = 12852^2 + 7476^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 917160 + ... + 917400.

Almost surely, 2^221064480 is an apocalyptic number.

221064480 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 221064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474486012).

221064480 is an abundant number, since it is smaller than the sum of its proper divisors (727907544).

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

221064480 is a wasteful number, since it uses less digits than its factorization.

221064480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 271 counting only the distinct ones).

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

The square root of 221064480 is about 14868.2372862421. The cubic root of 221064480 is about 604.6531536488.

The spelling of 221064480 in words is "two hundred twenty-one million, sixty-four thousand, four hundred eighty".