496827072 has 252 divisors, whose sum is σ = 1716511680. Its totient is φ = 136829952.

The previous prime is 496827059. The next prime is 496827073. The reversal of 496827072 is 270728694.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (496827073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 818193 + ... + 818799.

Almost surely, 2^496827072 is an apocalyptic number.

496827072 is a gapful number since it is divisible by the number (42) 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 496827072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858255840).

496827072 is an abundant number, since it is smaller than the sum of its proper divisors (1219684608).

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

496827072 is a wasteful number, since it uses less digits than its factorization.

496827072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 496827072 is about 22289.6180317205. The cubic root of 496827072 is about 792.0180589699.

The spelling of 496827072 in words is "four hundred ninety-six million, eight hundred twenty-seven thousand, seventy-two".