505762960 has 40 divisors (see below), whose sum is σ = 1187334720. Its totient is φ = 200337792.

The previous prime is 505762931. The next prime is 505762963. The reversal of 505762960 is 69267505.

It is a tau number, because it is divible by the number of its divisors (40).

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 (505762963) 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, 22450 + ... + 38929.

It is an arithmetic number, because the mean of its divisors is an integer number (29683368).

Almost surely, 2^505762960 is an apocalyptic number.

It is an amenable number.

505762960 is an abundant number, since it is smaller than the sum of its proper divisors (681571760).

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

505762960 is a wasteful number, since it uses less digits than its factorization.

505762960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61495 (or 61489 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 505762960 is about 22489.1742845308. The cubic root of 505762960 is about 796.7382610642.

The spelling of 505762960 in words is "five hundred five million, seven hundred sixty-two thousand, nine hundred sixty".