220429944 has 128 divisors (see below), whose sum is σ = 736704000. Its totient is φ = 59657472.

The previous prime is 220429943. The next prime is 220429969. The reversal of 220429944 is 449924022.

220429944 is a `hidden beast` number, since 220 + 429 + 9 + 4 + 4 = 666.

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 = 220429899 and 220429908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220429943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24892 + ... + 32564.

It is an arithmetic number, because the mean of its divisors is an integer number (5755500).

Almost surely, 2^220429944 is an apocalyptic number.

220429944 is a gapful number since it is divisible by the number (24) 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 220429944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368352000).

220429944 is an abundant number, since it is smaller than the sum of its proper divisors (516274056).

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

220429944 is a wasteful number, since it uses less digits than its factorization.

220429944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7714 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 220429944 is about 14846.8833093010. The cubic root of 220429944 is about 604.0740739233.

The spelling of 220429944 in words is "two hundred twenty million, four hundred twenty-nine thousand, nine hundred forty-four".