501440000 has 100 divisors (see below), whose sum is σ = 1252773984. Its totient is φ = 200448000.

The previous prime is 501439949. The next prime is 501440011. The reversal of 501440000 is 44105.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319217 + ... + 320783.

Almost surely, 2^501440000 is an apocalyptic number.

501440000 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 501440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626386992).

501440000 is an abundant number, since it is smaller than the sum of its proper divisors (751333984).

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

501440000 is an frugal number, since it uses more digits than its factorization.

501440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 501440000 is about 22392.8560036454. The cubic root of 501440000 is about 794.4617481828.

Adding to 501440000 its reverse (44105), we get a palindrome (501484105).

The spelling of 501440000 in words is "five hundred one million, four hundred forty thousand".