492557520 has 320 divisors, whose sum is σ = 1979873280. Its totient is φ = 98371584.

The previous prime is 492557497. The next prime is 492557521. The reversal of 492557520 is 25755294.

It is a super-2 number, since 2×492557520² = 485225821017100800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492557521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414367 + ... + 415553.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104).

Almost surely, 2^492557520 is an apocalyptic number.

492557520 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 492557520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989936640).

492557520 is an abundant number, since it is smaller than the sum of its proper divisors (1487315760).

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

492557520 is a wasteful number, since it uses less digits than its factorization.

492557520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 492557520 is about 22193.6369259299. The cubic root of 492557520 is about 789.7427566011.

The spelling of 492557520 in words is "four hundred ninety-two million, five hundred fifty-seven thousand, five hundred twenty".