401167200 has 144 divisors (see below), whose sum is σ = 1492404480. Its totient is φ = 91691520.

The previous prime is 401167141. The next prime is 401167211. The reversal of 401167200 is 2761104.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 4861 + ... + 28739.

It is an arithmetic number, because the mean of its divisors is an integer number (10363920).

Almost surely, 2^401167200 is an apocalyptic number.

401167200 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 401167200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746202240).

401167200 is an abundant number, since it is smaller than the sum of its proper divisors (1091237280).

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

401167200 is a wasteful number, since it uses less digits than its factorization.

401167200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23909 (or 23896 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 401167200 is about 20029.1587441909. The cubic root of 401167200 is about 737.5222707054.

The spelling of 401167200 in words is "four hundred one million, one hundred sixty-seven thousand, two hundred".