401341600 has 144 divisors (see below), whose sum is σ = 1088367840. Its totient is φ = 143283200.

The previous prime is 401341583. The next prime is 401341613. The reversal of 401341600 is 6143104.

It is a happy number.

It is a super-2 number, since 2×401341600² = 322150159781120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518814 + ... + 519586.

It is an arithmetic number, because the mean of its divisors is an integer number (7558110).

Almost surely, 2^401341600 is an apocalyptic number.

401341600 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 401341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544183920).

401341600 is an abundant number, since it is smaller than the sum of its proper divisors (687026240).

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

401341600 is a wasteful number, since it uses less digits than its factorization.

401341600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 401341600 is about 20033.5119237741. The cubic root of 401341600 is about 737.6291299315.

Adding to 401341600 its reverse (6143104), we get a palindrome (407484704).

The spelling of 401341600 in words is "four hundred one million, three hundred forty-one thousand, six hundred".