496482120 has 96 divisors (see below), whose sum is σ = 1652971320. Its totient is φ = 129162240.

The previous prime is 496482101. The next prime is 496482131. The reversal of 496482120 is 21284694.

496482120 is a `hidden beast` number, since 4 + 9 + 648 + 2 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143568324 + 352913796 = 11982^2 + 18786^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 2059 + ... + 31578.

Almost surely, 2^496482120 is an apocalyptic number.

496482120 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 496482120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826485660).

496482120 is an abundant number, since it is smaller than the sum of its proper divisors (1156489200).

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

496482120 is a wasteful number, since it uses less digits than its factorization.

496482120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33695 (or 33688 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 496482120 is about 22281.8787358696. The cubic root of 496482120 is about 791.8347145135.

The spelling of 496482120 in words is "four hundred ninety-six million, four hundred eighty-two thousand, one hundred twenty".