220380480 has 224 divisors, whose sum is σ = 811987200. Its totient is φ = 56162304.

The previous prime is 220380463. The next prime is 220380527. The reversal of 220380480 is 84083022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198166 + ... + 199274.

Almost surely, 2^220380480 is an apocalyptic number.

220380480 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 220380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405993600).

220380480 is an abundant number, since it is smaller than the sum of its proper divisors (591606720).

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

220380480 is a wasteful number, since it uses less digits than its factorization.

220380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1142 counting only the distinct ones).

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

The square root of 220380480 is about 14845.2174116784. The cubic root of 220380480 is about 604.0288862404.

The spelling of 220380480 in words is "two hundred twenty million, three hundred eighty thousand, four hundred eighty".