505096960 has 72 divisors (see below), whose sum is σ = 1222156656. Its totient is φ = 199987200.

The previous prime is 505096957. The next prime is 505096961. The reversal of 505096960 is 69690505.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (505096961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127327 + ... + 131233.

It is an arithmetic number, because the mean of its divisors is an integer number (16974398).

Almost surely, 2^505096960 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 505096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611078328).

505096960 is an abundant number, since it is smaller than the sum of its proper divisors (717059696).

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

505096960 is a wasteful number, since it uses less digits than its factorization.

505096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4029 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 40.

The square root of 505096960 is about 22474.3622823875. The cubic root of 505096960 is about 796.3883865126.

The spelling of 505096960 in words is "five hundred five million, ninety-six thousand, nine hundred sixty".