401800800 has 288 divisors, whose sum is σ = 1417409280. Its totient is φ = 98560000.

The previous prime is 401800787. The next prime is 401800807. The reversal of 401800800 is 8008104.

It is a super-2 number, since 2×401800800² = 322887765761280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401800807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1600675 + ... + 1600925.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2^401800800 is an apocalyptic number.

401800800 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 401800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708704640).

401800800 is an abundant number, since it is smaller than the sum of its proper divisors (1015608480).

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

401800800 is a wasteful number, since it uses less digits than its factorization.

401800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 401800800 is about 20044.9694437283. The cubic root of 401800800 is about 737.9103452314.

Adding to 401800800 its reverse (8008104), we get a palindrome (409808904).

The spelling of 401800800 in words is "four hundred one million, eight hundred thousand, eight hundred".