492941520 has 360 divisors, whose sum is σ = 1852845696. Its totient is φ = 117190656.

The previous prime is 492941513. The next prime is 492941521. The reversal of 492941520 is 25149294.

492941520 is a `hidden beast` number, since 4 + 92 + 9 + 41 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492941521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4785789 + ... + 4785891.

Almost surely, 2^492941520 is an apocalyptic number.

492941520 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 492941520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926422848).

492941520 is an abundant number, since it is smaller than the sum of its proper divisors (1359904176).

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

492941520 is a wasteful number, since it uses less digits than its factorization.

492941520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 492941520 is about 22202.2863687504. The cubic root of 492941520 is about 789.9479322624.

The spelling of 492941520 in words is "four hundred ninety-two million, nine hundred forty-one thousand, five hundred twenty".