496062144 has 168 divisors, whose sum is σ = 1491130368. Its totient is φ = 163503360.

The previous prime is 496062131. The next prime is 496062169. The reversal of 496062144 is 441260694.

496062144 is a `hidden beast` number, since 4 + 9 + 606 + 2 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 496062099 and 496062108.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2597089 + ... + 2597279.

It is an arithmetic number, because the mean of its divisors is an integer number (8875776).

Almost surely, 2^496062144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745565184).

496062144 is an abundant number, since it is smaller than the sum of its proper divisors (995068224).

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

496062144 is a wasteful number, since it uses less digits than its factorization.

496062144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 496062144 is about 22272.4525816085. The cubic root of 496062144 is about 791.6113795900.

The spelling of 496062144 in words is "four hundred ninety-six million, sixty-two thousand, one hundred forty-four".