492845760 has 336 divisors, whose sum is σ = 1894344192. Its totient is φ = 116582400.

The previous prime is 492845753. The next prime is 492845791. The reversal of 492845760 is 67548294.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1488795 + ... + 1489125.

Almost surely, 2^492845760 is an apocalyptic number.

492845760 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 492845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947172096).

492845760 is an abundant number, since it is smaller than the sum of its proper divisors (1401498432).

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

492845760 is a wasteful number, since it uses less digits than its factorization.

492845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 492845760 is about 22200.1297293507. The cubic root of 492845760 is about 789.8967765575.

The spelling of 492845760 in words is "four hundred ninety-two million, eight hundred forty-five thousand, seven hundred sixty".