401500 has 48 divisors (see below), whose sum is σ = 969696. Its totient is φ = 144000.

The previous prime is 401477. The next prime is 401507. The reversal of 401500 is 5104.

401500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401500² = 322404500000, which contains 22 as substring.

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

It is a plaindrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5464 + ... + 5536.

It is an arithmetic number, because the mean of its divisors is an integer number (20202).

2⁴⁰¹⁵⁰⁰ 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 401500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484848).

401500 is an abundant number, since it is smaller than the sum of its proper divisors (568196).

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

401500 is a wasteful number, since it uses less digits than its factorization.

401500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 401500 is about 633.6402764976. The cubic root of 401500 is about 73.7726158735.

Adding to 401500 its reverse (5104), we get a palindrome (406604).

It can be divided in two parts, 40 and 1500, that added together give a triangular number (1540 = T₅₅).

The spelling of 401500 in words is "four hundred one thousand, five hundred".