496952820 has 240 divisors, whose sum is σ = 1919288448. Its totient is φ = 104820480.

The previous prime is 496952803. The next prime is 496952821. The reversal of 496952820 is 28259694.

496952820 is a `hidden beast` number, since 49 + 69 + 528 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496952821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 145735 + ... + 149105.

Almost surely, 2^496952820 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 496952820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959644224).

496952820 is an abundant number, since it is smaller than the sum of its proper divisors (1422335628).

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

496952820 is a wasteful number, since it uses less digits than its factorization.

496952820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 496952820 is about 22292.4386283780. The cubic root of 496952820 is about 792.0848738244.

The spelling of 496952820 in words is "four hundred ninety-six million, nine hundred fifty-two thousand, eight hundred twenty".