492787680 has 384 divisors, whose sum is σ = 1974067200. Its totient is φ = 100362240.

The previous prime is 492787663. The next prime is 492787699. The reversal of 492787680 is 86787294.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2476221 + ... + 2476419.

It is an arithmetic number, because the mean of its divisors is an integer number (5140800).

Almost surely, 2^492787680 is an apocalyptic number.

492787680 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 492787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987033600).

492787680 is an abundant number, since it is smaller than the sum of its proper divisors (1481279520).

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

492787680 is a wasteful number, since it uses less digits than its factorization.

492787680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 492787680 is about 22198.8215903457. The cubic root of 492787680 is about 789.8657465607.

The spelling of 492787680 in words is "four hundred ninety-two million, seven hundred eighty-seven thousand, six hundred eighty".