492935640 has 64 divisors (see below), whose sum is σ = 1484524800. Its totient is φ = 130941312.

The previous prime is 492935593. The next prime is 492935687. The reversal of 492935640 is 46539294.

It is an interprime number because it is at equal distance from previous prime (492935593) and next prime (492935687).

It is a junction number, because it is equal to n+sod(n) for n = 492935592 and 492935601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23751 + ... + 39369.

It is an arithmetic number, because the mean of its divisors is an integer number (23195700).

Almost surely, 2^492935640 is an apocalyptic number.

492935640 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 492935640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742262400).

492935640 is an abundant number, since it is smaller than the sum of its proper divisors (991589160).

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

492935640 is a wasteful number, since it uses less digits than its factorization.

492935640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15896 (or 15892 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 492935640 is about 22202.1539495608. The cubic root of 492935640 is about 789.9447913136.

The spelling of 492935640 in words is "four hundred ninety-two million, nine hundred thirty-five thousand, six hundred forty".