496409472 has 320 divisors, whose sum is σ = 1658764800. Its totient is φ = 146313216.

The previous prime is 496409429. The next prime is 496409489. The reversal of 496409472 is 274904694.

496409472 is a `hidden beast` number, since 496 + 4 + 0 + 94 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3908673 + ... + 3908799.

It is an arithmetic number, because the mean of its divisors is an integer number (5183640).

Almost surely, 2^496409472 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 496409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829382400).

496409472 is an abundant number, since it is smaller than the sum of its proper divisors (1162355328).

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

496409472 is a wasteful number, since it uses less digits than its factorization.

496409472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 496409472 is about 22280.2484725822. The cubic root of 496409472 is about 791.7960907565.

The spelling of 496409472 in words is "four hundred ninety-six million, four hundred nine thousand, four hundred seventy-two".