495911920 has 80 divisors (see below), whose sum is σ = 1321344000. Its totient is φ = 169558272.

The previous prime is 495911917. The next prime is 495911921. The reversal of 495911920 is 29119594.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495911921) 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, 247081 + ... + 249079.

It is an arithmetic number, because the mean of its divisors is an integer number (16516800).

Almost surely, 2^495911920 is an apocalyptic number.

495911920 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 495911920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660672000).

495911920 is an abundant number, since it is smaller than the sum of its proper divisors (825432080).

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

495911920 is a wasteful number, since it uses less digits than its factorization.

495911920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 40.

The square root of 495911920 is about 22269.0799091476. The cubic root of 495911920 is about 791.5314628325.

The spelling of 495911920 in words is "four hundred ninety-five million, nine hundred eleven thousand, nine hundred twenty".