492048315 has 72 divisors (see below), whose sum is σ = 978475680. Its totient is φ = 228138240.

The previous prime is 492048239. The next prime is 492048317. The reversal of 492048315 is 513840294.

492048315 = 2964² + 2965² + ... + 3018².

It is not a de Polignac number, because 492048315 - 2¹⁶ = 491982779 is a prime.

It is a super-2 number, since 2×492048315² = 484223088588678450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 492048315.

It is not an unprimeable number, because it can be changed into a prime (492048317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123271 + ... + 127199.

It is an arithmetic number, because the mean of its divisors is an integer number (13589940).

Almost surely, 2^492048315 is an apocalyptic number.

492048315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

492048315 is a deficient number, since it is larger than the sum of its proper divisors (486427365).

492048315 is a wasteful number, since it uses less digits than its factorization.

492048315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 492048315 is about 22182.1620902923. The cubic root of 492048315 is about 789.4705179277.

It can be divided in two parts, 4920 and 48315, that added together give a palindrome (53235).

The spelling of 492048315 in words is "four hundred ninety-two million, forty-eight thousand, three hundred fifteen".