492157680 has 320 divisors, whose sum is σ = 1865023488. Its totient is φ = 104924160.

The previous prime is 492157669. The next prime is 492157691. The reversal of 492157680 is 86751294.

It is an interprime number because it is at equal distance from previous prime (492157669) and next prime (492157691).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1815945 + ... + 1816215.

Almost surely, 2^492157680 is an apocalyptic number.

492157680 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 492157680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932511744).

492157680 is an abundant number, since it is smaller than the sum of its proper divisors (1372865808).

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

492157680 is a wasteful number, since it uses less digits than its factorization.

492157680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 492157680 is about 22184.6271097803. The cubic root of 492157680 is about 789.5290040861.

The spelling of 492157680 in words is "four hundred ninety-two million, one hundred fifty-seven thousand, six hundred eighty".