496072512 has 280 divisors, whose sum is σ = 1680658056. Its totient is φ = 143327232.

The previous prime is 496072481. The next prime is 496072517. The reversal of 496072512 is 215270694.

496072512 is a `hidden beast` number, since 49 + 607 + 2 + 5 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 488586816 = 2736^2 + 22104^2 .

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 (496072517) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1145448 + ... + 1145880.

Almost surely, 2^496072512 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 496072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840329028).

496072512 is an abundant number, since it is smaller than the sum of its proper divisors (1184585544).

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

496072512 is a wasteful number, since it uses less digits than its factorization.

496072512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 496072512 is about 22272.6853342833. The cubic root of 496072512 is about 791.6168946044.

The spelling of 496072512 in words is "four hundred ninety-six million, seventy-two thousand, five hundred twelve".