401220560 has 80 divisors (see below), whose sum is σ = 1008591696. Its totient is φ = 147554304.

The previous prime is 401220557. The next prime is 401220571. The reversal of 401220560 is 65022104.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 136702864 + 264517696 = 11692^2 + 16264^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 329072 + ... + 330288.

Almost surely, 2^401220560 is an apocalyptic number.

401220560 is a gapful number since it is divisible by the number (40) 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 401220560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504295848).

401220560 is an abundant number, since it is smaller than the sum of its proper divisors (607371136).

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

401220560 is a wasteful number, since it uses less digits than its factorization.

401220560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 401220560 is about 20030.4907578422. The cubic root of 401220560 is about 737.5549689948.

Adding to 401220560 its reverse (65022104), we get a palindrome (466242664).

The spelling of 401220560 in words is "four hundred one million, two hundred twenty thousand, five hundred sixty".