495346320 has 240 divisors, whose sum is σ = 1960767360. Its totient is φ = 112596480.

The previous prime is 495346279. The next prime is 495346333. The reversal of 495346320 is 23643594.

495346320 is a `hidden beast` number, since 49 + 534 + 63 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2736630 + ... + 2736810.

It is an arithmetic number, because the mean of its divisors is an integer number (8169864).

Almost surely, 2^495346320 is an apocalyptic number.

495346320 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 495346320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980383680).

495346320 is an abundant number, since it is smaller than the sum of its proper divisors (1465421040).

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

495346320 is a wasteful number, since it uses less digits than its factorization.

495346320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 495346320 is about 22256.3770636642. The cubic root of 495346320 is about 791.2304278531.

The spelling of 495346320 in words is "four hundred ninety-five million, three hundred forty-six thousand, three hundred twenty".