495865302240 has 384 divisors, whose sum is σ = 1951037964288. Its totient is φ = 102844385280.

The previous prime is 495865302239. The next prime is 495865302253. The reversal of 495865302240 is 42203568594.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 495865302240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20204857 + ... + 20229383.

It is an arithmetic number, because the mean of its divisors is an integer number (5080828032).

Almost surely, 2^495865302240 is an apocalyptic number.

495865302240 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 495865302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975518982144).

495865302240 is an abundant number, since it is smaller than the sum of its proper divisors (1455172662048).

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

495865302240 is a wasteful number, since it uses less digits than its factorization.

495865302240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25110 (or 25102 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 495865302240 in words is "four hundred ninety-five billion, eight hundred sixty-five million, three hundred two thousand, two hundred forty".