401317200 has 120 divisors (see below), whose sum is σ = 1428430400. Its totient is φ = 107015040.

The previous prime is 401317187. The next prime is 401317211. The reversal of 401317200 is 2713104.

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

It is a super-2 number, since 2×401317200² = 322110990031680000, 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7780 + ... + 29379.

Almost surely, 2^401317200 is an apocalyptic number.

401317200 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 401317200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714215200).

401317200 is an abundant number, since it is smaller than the sum of its proper divisors (1027113200).

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

401317200 is a wasteful number, since it uses less digits than its factorization.

401317200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37186 (or 37169 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 401317200 is about 20032.9029349218. The cubic root of 401317200 is about 737.6141813063.

The spelling of 401317200 in words is "four hundred one million, three hundred seventeen thousand, two hundred".