501400 has 48 divisors (see below), whose sum is σ = 1227600. Its totient is φ = 190080.

The previous prime is 501383. The next prime is 501401. The reversal of 501400 is 4105.

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 (501401) by changing a digit.

501400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4546 + ... + 4654.

It is an arithmetic number, because the mean of its divisors is an integer number (25575).

2⁵⁰¹⁴⁰⁰ is an apocalyptic number.

501400 is a gapful number since it is divisible by the number (50) 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 501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613800).

501400 is an abundant number, since it is smaller than the sum of its proper divisors (726200).

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

501400 is a wasteful number, since it uses less digits than its factorization.

501400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

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

The square root of 501400 is about 708.0960386840. The cubic root of 501400 is about 79.4440622814. Note that the first 3 decimals are identical.

Adding to 501400 its reverse (4105), we get a palindrome (505505).

The spelling of 501400 in words is "five hundred one thousand, four hundred".