401023000 has 128 divisors (see below), whose sum is σ = 1091750400. Its totient is φ = 135024000.

The previous prime is 401022977. The next prime is 401023001. The reversal of 401023000 is 320104.

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 (401023001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412515 + ... + 413485.

It is an arithmetic number, because the mean of its divisors is an integer number (8529300).

Almost surely, 2^401023000 is an apocalyptic number.

401023000 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 401023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545875200).

401023000 is an abundant number, since it is smaller than the sum of its proper divisors (690727400).

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

401023000 is a wasteful number, since it uses less digits than its factorization.

401023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 401023000 is about 20025.5586688612. The cubic root of 401023000 is about 737.4338923795.

Adding to 401023000 its reverse (320104), we get a palindrome (401343104).

The spelling of 401023000 in words is "four hundred one million, twenty-three thousand".