401986000 has 80 divisors (see below), whose sum is σ = 1046839248. Its totient is φ = 148416000.

The previous prime is 401985979. The next prime is 401986003. The reversal of 401986000 is 689104.

It can be written as a sum of positive squares in 8 ways, for example, as 269091216 + 132894784 = 16404^2 + 11528^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 401986000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401986003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18270 + ... + 33730.

Almost surely, 2^401986000 is an apocalyptic number.

401986000 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 401986000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523419624).

401986000 is an abundant number, since it is smaller than the sum of its proper divisors (644853248).

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

401986000 is a wasteful number, since it uses less digits than its factorization.

401986000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15497 (or 15481 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 401986000 is about 20049.5885244561. The cubic root of 401986000 is about 738.0237015716.

The spelling of 401986000 in words is "four hundred one million, nine hundred eighty-six thousand".