495996760 has 128 divisors (see below), whose sum is σ = 1368576000. Its totient is φ = 157906944.

The previous prime is 495996751. The next prime is 495996769. The reversal of 495996760 is 67699594.

It is an interprime number because it is at equal distance from previous prime (495996751) and next prime (495996769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495996769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375381 + ... + 376699.

It is an arithmetic number, because the mean of its divisors is an integer number (10692000).

Almost surely, 2^495996760 is an apocalyptic number.

495996760 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 495996760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684288000).

495996760 is an abundant number, since it is smaller than the sum of its proper divisors (872579240).

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

495996760 is a wasteful number, since it uses less digits than its factorization.

495996760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 55.

The square root of 495996760 is about 22270.9847110540. The cubic root of 495996760 is about 791.5765983344.

The spelling of 495996760 in words is "four hundred ninety-five million, nine hundred ninety-six thousand, seven hundred sixty".