220280040 has 128 divisors (see below), whose sum is σ = 746928000. Its totient is φ = 57729024.

The previous prime is 220280029. The next prime is 220280051. The reversal of 220280040 is 40082022.

It is an interprime number because it is at equal distance from previous prime (220280029) and next prime (220280051).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220279995 and 220280022.

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, 61992 + ... + 65448.

It is an arithmetic number, because the mean of its divisors is an integer number (5835375).

Almost surely, 2^220280040 is an apocalyptic number.

220280040 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 220280040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464000).

220280040 is an abundant number, since it is smaller than the sum of its proper divisors (526647960).

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

220280040 is a wasteful number, since it uses less digits than its factorization.

220280040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 220280040 is about 14841.8341184639. The cubic root of 220280040 is about 603.9371087829.

The spelling of 220280040 in words is "two hundred twenty million, two hundred eighty thousand, forty".