495957320 has 64 divisors (see below), whose sum is σ = 1210431600. Its totient is φ = 182149120.

The previous prime is 495957307. The next prime is 495957331. The reversal of 495957320 is 23759594.

It can be written as a sum of positive squares in 8 ways, for example, as 303247396 + 192709924 = 17414^2 + 13882^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18986 + ... + 36774.

Almost surely, 2^495957320 is an apocalyptic number.

495957320 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 495957320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605215800).

495957320 is an abundant number, since it is smaller than the sum of its proper divisors (714474280).

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

495957320 is a wasteful number, since it uses less digits than its factorization.

495957320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17858 (or 17854 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 44.

The square root of 495957320 is about 22270.0992364201. The cubic root of 495957320 is about 791.5556166055. Note that the first 3 decimals are identical.

The spelling of 495957320 in words is "four hundred ninety-five million, nine hundred fifty-seven thousand, three hundred twenty".