492908640 has 288 divisors, whose sum is σ = 1902942720. Its totient is φ = 106638336.

The previous prime is 492908623. The next prime is 492908657. The reversal of 492908640 is 46809294.

It is an interprime number because it is at equal distance from previous prime (492908623) and next prime (492908657).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 492908592 and 492908601.

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 47 ways as a sum of consecutive naturals, for example, 446329 + ... + 447431.

It is an arithmetic number, because the mean of its divisors is an integer number (6607440).

Almost surely, 2^492908640 is an apocalyptic number.

492908640 is a gapful number since it is divisible by the number (40) 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 492908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951471360).

492908640 is an abundant number, since it is smaller than the sum of its proper divisors (1410034080).

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

492908640 is a wasteful number, since it uses less digits than its factorization.

492908640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 492908640 is about 22201.5458921220. The cubic root of 492908640 is about 789.9303682686.

The spelling of 492908640 in words is "four hundred ninety-two million, nine hundred eight thousand, six hundred forty".