495100320 has 192 divisors, whose sum is σ = 1832471424. Its totient is φ = 110776320.

The previous prime is 495100273. The next prime is 495100321. The reversal of 495100320 is 23001594.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (495100321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65034 + ... + 72246.

It is an arithmetic number, because the mean of its divisors is an integer number (9544122).

Almost surely, 2^495100320 is an apocalyptic number.

495100320 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 495100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916235712).

495100320 is an abundant number, since it is smaller than the sum of its proper divisors (1337371104).

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

495100320 is a wasteful number, since it uses less digits than its factorization.

495100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7255 (or 7247 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 495100320 is about 22250.8498714094. The cubic root of 495100320 is about 791.0994252881.

The spelling of 495100320 in words is "four hundred ninety-five million, one hundred thousand, three hundred twenty".