401103360 has 320 divisors, whose sum is σ = 1630252800. Its totient is φ = 91570176.

The previous prime is 401103359. The next prime is 401103383. The reversal of 401103360 is 63301104.

It is a tau number, because it is divible by the number of its divisors (320).

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

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, 483426 + ... + 484254.

It is an arithmetic number, because the mean of its divisors is an integer number (5094540).

Almost surely, 2^401103360 is an apocalyptic number.

401103360 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 401103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815126400).

401103360 is an abundant number, since it is smaller than the sum of its proper divisors (1229149440).

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

401103360 is an equidigital number, since it uses as much as digits as its factorization.

401103360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 401103360 is about 20027.5650042635. The cubic root of 401103360 is about 737.4831466033.

Adding to 401103360 its reverse (63301104), we get a palindrome (464404464).

The spelling of 401103360 in words is "four hundred one million, one hundred three thousand, three hundred sixty".