495089280 has 256 divisors, whose sum is σ = 2004422400. Its totient is φ = 113135616.

The previous prime is 495089279. The next prime is 495089281. The reversal of 495089280 is 82980594.

495089280 is a `hidden beast` number, since 495 + 0 + 89 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (495089279) and next prime (495089281).

It is a super-2 number, since 2×495089280² = 490226790341836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (495089281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118914 + ... + 123006.

It is an arithmetic number, because the mean of its divisors is an integer number (7829775).

Almost surely, 2^495089280 is an apocalyptic number.

495089280 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 495089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002211200).

495089280 is an abundant number, since it is smaller than the sum of its proper divisors (1509333120).

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

495089280 is a wasteful number, since it uses less digits than its factorization.

495089280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 495089280 is about 22250.6017896146. The cubic root of 495089280 is about 791.0935451312.

The spelling of 495089280 in words is "four hundred ninety-five million, eighty-nine thousand, two hundred eighty".