495020160 has 224 divisors, whose sum is σ = 1775971980. Its totient is φ = 131880960.

The previous prime is 495020143. The next prime is 495020179. The reversal of 495020160 is 61020594.

It can be written as a sum of positive squares in 2 ways, for example, as 494973504 + 46656 = 22248^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 466030 + ... + 467090.

Almost surely, 2^495020160 is an apocalyptic number.

495020160 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 495020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887985990).

495020160 is an abundant number, since it is smaller than the sum of its proper divisors (1280951820).

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

495020160 is an equidigital number, since it uses as much as digits as its factorization.

495020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 495020160 is about 22249.0485189817. The cubic root of 495020160 is about 791.0567282493.

The spelling of 495020160 in words is "four hundred ninety-five million, twenty thousand, one hundred sixty".