220479840 has 384 divisors, whose sum is σ = 923166720. Its totient is φ = 48052224.

The previous prime is 220479829. The next prime is 220479871. The reversal of 220479840 is 48974022.

It is a super-2 number, since 2×220479840² = 97222719692851200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 220479795 and 220479804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 695362 + ... + 695678.

It is an arithmetic number, because the mean of its divisors is an integer number (2404080).

Almost surely, 2^220479840 is an apocalyptic number.

220479840 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 220479840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461583360).

220479840 is an abundant number, since it is smaller than the sum of its proper divisors (702686880).

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

220479840 is a wasteful number, since it uses less digits than its factorization.

220479840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

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

The square root of 220479840 is about 14848.5635668909. The cubic root of 220479840 is about 604.1196494102.

The spelling of 220479840 in words is "two hundred twenty million, four hundred seventy-nine thousand, eight hundred forty".