495173952 has 448 divisors, whose sum is σ = 1857085440. Its totient is φ = 125908992.

The previous prime is 495173897. The next prime is 495173963. The reversal of 495173952 is 259371594.

It is a happy number.

495173952 is a `hidden beast` number, since 49 + 517 + 3 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 495173898 and 495173907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7390623 + ... + 7390689.

It is an arithmetic number, because the mean of its divisors is an integer number (4145280).

Almost surely, 2^495173952 is an apocalyptic number.

495173952 is a gapful number since it is divisible by the number (42) 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 495173952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928542720).

495173952 is an abundant number, since it is smaller than the sum of its proper divisors (1361911488).

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

495173952 is a wasteful number, since it uses less digits than its factorization.

495173952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 495173952 is about 22252.5043983818. The cubic root of 495173952 is about 791.1386411420.

The spelling of 495173952 in words is "four hundred ninety-five million, one hundred seventy-three thousand, nine hundred fifty-two".