401443200 has 288 divisors, whose sum is σ = 1465017840. Its totient is φ = 104632320.

The previous prime is 401443193. The next prime is 401443223. The reversal of 401443200 is 2344104.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×401443200² = 322313285652480000, which contains 22 as substring.

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

It is a congruent number.

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, 1526269 + ... + 1526531.

Almost surely, 2^401443200 is an apocalyptic number.

401443200 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 401443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732508920).

401443200 is an abundant number, since it is smaller than the sum of its proper divisors (1063574640).

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

401443200 is a wasteful number, since it uses less digits than its factorization.

401443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 401443200 is about 20036.0475144176. The cubic root of 401443200 is about 737.6913685137.

Adding to 401443200 its reverse (2344104), we get a palindrome (403787304).

The spelling of 401443200 in words is "four hundred one million, four hundred forty-three thousand, two hundred".