220974480 has 180 divisors, whose sum is σ = 772439772. Its totient is φ = 58786560.

The previous prime is 220974443. The next prime is 220974493. The reversal of 220974480 is 84479022.

220974480 is a `hidden beast` number, since 2 + 209 + 7 + 448 + 0 = 666.

220974480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 194100624 = 5184^2 + 13932^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×220974480² = 97659441622540800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 524670 + ... + 525090.

Almost surely, 2^220974480 is an apocalyptic number.

220974480 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 220974480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386219886).

220974480 is an abundant number, since it is smaller than the sum of its proper divisors (551465292).

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

220974480 is an frugal number, since it uses more digits than its factorization.

220974480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 431 counting only the distinct ones).

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

The square root of 220974480 is about 14865.2103920530. The cubic root of 220974480 is about 604.5710868381.

The spelling of 220974480 in words is "two hundred twenty million, nine hundred seventy-four thousand, four hundred eighty".