492014315520 has 2592 divisors, whose sum is σ = 2347529347800. Its totient is φ = 94334091264.

The previous prime is 492014315509. The next prime is 492014315521. The reversal of 492014315520 is 25513410294.

492014315520 is a `hidden beast` number, since 4 + 92 + 0 + 1 + 43 + 1 + 5 + 520 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 87029720064 + 404984595456 = 295008^2 + 636384^2 .

It is a super-2 number, since 2×492014315520² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (492014315521) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 16966010866 + ... + 16966010894.

Almost surely, 2^492014315520 is an apocalyptic number.

492014315520 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 492014315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173764673900).

492014315520 is an abundant number, since it is smaller than the sum of its proper divisors (1855515032280).

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

492014315520 is a wasteful number, since it uses less digits than its factorization.

492014315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 492014315520 in words is "four hundred ninety-two billion, fourteen million, three hundred fifteen thousand, five hundred twenty".