501408 has 36 divisors (see below), whose sum is σ = 1426698. Its totient is φ = 167040.

The previous prime is 501401. The next prime is 501409. The reversal of 501408 is 804105.

501408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 501264 + 144 = 708^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (501401) by changing a digit.

501408 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 5 ways as a sum of consecutive naturals, for example, 583 + ... + 1158.

2⁵⁰¹⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

501408 is an abundant number, since it is smaller than the sum of its proper divisors (925290).

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

501408 is a wasteful number, since it uses less digits than its factorization.

501408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 501408 is about 708.1016876127. The cubic root of 501408 is about 79.4444847978. Note that the first 4 decimals are identical.

It can be divided in two parts, 501 and 408, that added together give a palindrome (909).

The spelling of 501408 in words is "five hundred one thousand, four hundred eight".