401131000 has 64 divisors (see below), whose sum is σ = 942065280. Its totient is φ = 159868800.

The previous prime is 401130991. The next prime is 401131001. The reversal of 401131000 is 131104.

It is a happy number.

It is a super-2 number, since 2×401131000² = 321812158322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401131001) 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, 366454 + ... + 367546.

It is an arithmetic number, because the mean of its divisors is an integer number (14719770).

Almost surely, 2^401131000 is an apocalyptic number.

401131000 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 401131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471032640).

401131000 is an abundant number, since it is smaller than the sum of its proper divisors (540934280).

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

401131000 is a wasteful number, since it uses less digits than its factorization.

401131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 401131000 is about 20028.2550413160. The cubic root of 401131000 is about 737.5000861821.

Adding to 401131000 its reverse (131104), we get a palindrome (401262104).

The spelling of 401131000 in words is "four hundred one million, one hundred thirty-one thousand".