495905960 has 64 divisors (see below), whose sum is σ = 1229385600. Its totient is φ = 178528000.

The previous prime is 495905911. The next prime is 495905981. The reversal of 495905960 is 69509594.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38861 + ... + 50019.

It is an arithmetic number, because the mean of its divisors is an integer number (19209150).

Almost surely, 2^495905960 is an apocalyptic number.

495905960 is a gapful number since it is divisible by the number (40) 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 495905960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614692800).

495905960 is an abundant number, since it is smaller than the sum of its proper divisors (733479640).

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

495905960 is a wasteful number, since it uses less digits than its factorization.

495905960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11282 (or 11278 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 47.

The square root of 495905960 is about 22268.9460909132. The cubic root of 495905960 is about 791.5282918753.

The spelling of 495905960 in words is "four hundred ninety-five million, nine hundred five thousand, nine hundred sixty".