401862312 has 72 divisors (see below), whose sum is σ = 1148749290. Its totient is φ = 126895680.

The previous prime is 401862289. The next prime is 401862317. The reversal of 401862312 is 213268104.

It can be written as a sum of positive squares in only one way, i.e., 380016036 + 21846276 = 19494^2 + 4674^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×401862312³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (401862317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18262 + ... + 33722.

Almost surely, 2^401862312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401862312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574374645).

401862312 is an abundant number, since it is smaller than the sum of its proper divisors (746886978).

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

401862312 is a wasteful number, since it uses less digits than its factorization.

401862312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15511 (or 15485 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 401862312 is about 20046.5037350656. The cubic root of 401862312 is about 737.9479990681.

The spelling of 401862312 in words is "four hundred one million, eight hundred sixty-two thousand, three hundred twelve".