401043600 has 180 divisors, whose sum is σ = 1473824196. Its totient is φ = 100638720.

The previous prime is 401043569. The next prime is 401043611. The reversal of 401043600 is 6340104.

It can be written as a sum of positive squares in 6 ways, for example, as 2322576 + 398721024 = 1524^2 + 19968^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 57924 + ... + 64476.

Almost surely, 2^401043600 is an apocalyptic number.

401043600 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 401043600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736912098).

401043600 is an abundant number, since it is smaller than the sum of its proper divisors (1072780596).

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

401043600 is a wasteful number, since it uses less digits than its factorization.

401043600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6594 (or 6580 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 401043600 is about 20026.0730049603. The cubic root of 401043600 is about 737.4465191516.

Adding to 401043600 its reverse (6340104), we get a palindrome (407383704).

The spelling of 401043600 in words is "four hundred one million, forty-three thousand, six hundred".