505950240 has 192 divisors, whose sum is σ = 1736380800. Its totient is φ = 123346944.

The previous prime is 505950239. The next prime is 505950257. The reversal of 505950240 is 42059505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 505950198 and 505950207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263524 + ... + 265436.

It is an arithmetic number, because the mean of its divisors is an integer number (9043650).

Almost surely, 2^505950240 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 505950240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868190400).

505950240 is an abundant number, since it is smaller than the sum of its proper divisors (1230430560).

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

505950240 is a wasteful number, since it uses less digits than its factorization.

505950240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 505950240 is about 22493.3376802999. The cubic root of 505950240 is about 796.8365908746.

The spelling of 505950240 in words is "five hundred five million, nine hundred fifty thousand, two hundred forty".