492629840 has 40 divisors (see below), whose sum is σ = 1176327240. Its totient is φ = 191725056.

The previous prime is 492629833. The next prime is 492629843. The reversal of 492629840 is 48926294.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 199261456 + 293368384 = 14116^2 + 17128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 492629791 and 492629800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492629843) 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 7 ways as a sum of consecutive naturals, for example, 80255 + ... + 86174.

It is an arithmetic number, because the mean of its divisors is an integer number (29408181).

Almost surely, 2^492629840 is an apocalyptic number.

492629840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

492629840 is an abundant number, since it is smaller than the sum of its proper divisors (683697400).

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

492629840 is a wasteful number, since it uses less digits than its factorization.

492629840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166479 (or 166473 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 492629840 is about 22195.2661619544. The cubic root of 492629840 is about 789.7814061657.

The spelling of 492629840 in words is "four hundred ninety-two million, six hundred twenty-nine thousand, eight hundred forty".