495281952 has 240 divisors, whose sum is σ = 1646568000. Its totient is φ = 144668160.

The previous prime is 495281933. The next prime is 495282001. The reversal of 495281952 is 259182594.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 495281898 and 495281907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 826549 + ... + 827147.

It is an arithmetic number, because the mean of its divisors is an integer number (6860700).

Almost surely, 2^495281952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495281952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823284000).

495281952 is an abundant number, since it is smaller than the sum of its proper divisors (1151286048).

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

495281952 is a wasteful number, since it uses less digits than its factorization.

495281952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 644 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 495281952 is about 22254.9309592279. The cubic root of 495281952 is about 791.1961541040.

The spelling of 495281952 in words is "four hundred ninety-five million, two hundred eighty-one thousand, nine hundred fifty-two".