220401552 has 80 divisors (see below), whose sum is σ = 652319360. Its totient is φ = 62816256.

The previous prime is 220401523. The next prime is 220401569. The reversal of 220401552 is 255104022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257958 + ... + 258810.

It is an arithmetic number, because the mean of its divisors is an integer number (8153992).

Almost surely, 2^220401552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220401552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326159680).

220401552 is an abundant number, since it is smaller than the sum of its proper divisors (431917808).

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

220401552 is a wasteful number, since it uses less digits than its factorization.

220401552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 220401552 is about 14845.9271182368. The cubic root of 220401552 is about 604.0481373269.

Adding to 220401552 its reverse (255104022), we get a palindrome (475505574).

The spelling of 220401552 in words is "two hundred twenty million, four hundred one thousand, five hundred fifty-two".