401411220 has 192 divisors, whose sum is σ = 1327656960. Its totient is φ = 88731648.

The previous prime is 401411207. The next prime is 401411237. The reversal of 401411220 is 22114104.

It is a super-2 number, since 2×401411220² = 322261935083776800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 401411220.

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, 2403577 + ... + 2403743.

It is an arithmetic number, because the mean of its divisors is an integer number (6914880).

Almost surely, 2^401411220 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 401411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663828480).

401411220 is an abundant number, since it is smaller than the sum of its proper divisors (926245740).

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

401411220 is a wasteful number, since it uses less digits than its factorization.

401411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 401411220 is about 20035.2494369299. The cubic root of 401411220 is about 737.6717791950.

Adding to 401411220 its reverse (22114104), we get a palindrome (423525324).

The spelling of 401411220 in words is "four hundred one million, four hundred eleven thousand, two hundred twenty".