401233200 has 120 divisors (see below), whose sum is σ = 1291584000. Its totient is φ = 106471680.

The previous prime is 401233199. The next prime is 401233213. The reversal of 401233200 is 2332104.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 401233200.

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, 286101 + ... + 287499.

It is an arithmetic number, because the mean of its divisors is an integer number (10763200).

Almost surely, 2^401233200 is an apocalyptic number.

401233200 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 401233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645792000).

401233200 is an abundant number, since it is smaller than the sum of its proper divisors (890350800).

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

401233200 is a wasteful number, since it uses less digits than its factorization.

401233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 401233200 is about 20030.8062743365. The cubic root of 401233200 is about 737.5627141919.

Adding to 401233200 its reverse (2332104), we get a palindrome (403565304).

The spelling of 401233200 in words is "four hundred one million, two hundred thirty-three thousand, two hundred".