505303040 has 104 divisors (see below), whose sum is σ = 1323403488. Its totient is φ = 183664640.

The previous prime is 505303021. The next prime is 505303061. The reversal of 505303040 is 40303505.

It is a hoax number, since the sum of its digits (20) 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 (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224159 + ... + 226401.

Almost surely, 2^505303040 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 505303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661701744).

505303040 is an abundant number, since it is smaller than the sum of its proper divisors (818100448).

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

505303040 is a wasteful number, since it uses less digits than its factorization.

505303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 505303040 is about 22478.9465945360. The cubic root of 505303040 is about 796.4966808379.

Adding to 505303040 its reverse (40303505), we get a palindrome (545606545).

The spelling of 505303040 in words is "five hundred five million, three hundred three thousand, forty".