401443400 has 96 divisors (see below), whose sum is σ = 994356000. Its totient is φ = 150289920.

The previous prime is 401443373. The next prime is 401443417. The reversal of 401443400 is 4344104.

It is a super-2 number, since 2×401443400² = 322313606807120000, which contains 22 as substring.

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

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, 337607 + ... + 338793.

It is an arithmetic number, because the mean of its divisors is an integer number (10357875).

Almost surely, 2^401443400 is an apocalyptic number.

401443400 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 401443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497178000).

401443400 is an abundant number, since it is smaller than the sum of its proper divisors (592912600).

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

401443400 is a wasteful number, since it uses less digits than its factorization.

401443400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 401443400 is about 20036.0525054213. The cubic root of 401443400 is about 737.6914910203.

Adding to 401443400 its reverse (4344104), we get a palindrome (405787504).

The spelling of 401443400 in words is "four hundred one million, four hundred forty-three thousand, four hundred".