495589248 has 384 divisors, whose sum is σ = 1838154240. Its totient is φ = 124416000.

The previous prime is 495589243. The next prime is 495589249. The reversal of 495589248 is 842985594.

It is a happy number.

495589248 is a `hidden beast` number, since 49 + 558 + 9 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 495589194 and 495589203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495589243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3281973 + ... + 3282123.

It is an arithmetic number, because the mean of its divisors is an integer number (4786860).

Almost surely, 2^495589248 is an apocalyptic number.

495589248 is a gapful number since it is divisible by the number (48) 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 495589248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919077120).

495589248 is an abundant number, since it is smaller than the sum of its proper divisors (1342564992).

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

495589248 is a wasteful number, since it uses less digits than its factorization.

495589248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 495589248 is about 22261.8338867219. The cubic root of 495589248 is about 791.3597519270.

The spelling of 495589248 in words is "four hundred ninety-five million, five hundred eighty-nine thousand, two hundred forty-eight".