220812480 has 280 divisors, whose sum is σ = 898416288. Its totient is φ = 50429952.

The previous prime is 220812479. The next prime is 220812499. The reversal of 220812480 is 84218022.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180832 + ... + 182048.

Almost surely, 2^220812480 is an apocalyptic number.

220812480 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 220812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449208144).

220812480 is an abundant number, since it is smaller than the sum of its proper divisors (677603808).

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

220812480 is a wasteful number, since it uses less digits than its factorization.

220812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 220812480 is about 14859.7604287552. The cubic root of 220812480 is about 604.4233104074.

The spelling of 220812480 in words is "two hundred twenty million, eight hundred twelve thousand, four hundred eighty".