495850368 has 128 divisors (see below), whose sum is σ = 1439424000. Its totient is φ = 150312960.

The previous prime is 495850367. The next prime is 495850447. The reversal of 495850368 is 863058594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495850367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353733 + ... + 355131.

It is an arithmetic number, because the mean of its divisors is an integer number (11245500).

Almost surely, 2^495850368 is an apocalyptic number.

495850368 is a gapful number since it is divisible by the number (48) 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 495850368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719712000).

495850368 is an abundant number, since it is smaller than the sum of its proper divisors (943573632).

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

495850368 is a wasteful number, since it uses less digits than its factorization.

495850368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 495850368 is about 22267.6978603537. The cubic root of 495850368 is about 791.4987134951.

The spelling of 495850368 in words is "four hundred ninety-five million, eight hundred fifty thousand, three hundred sixty-eight".