496820000 has 60 divisors (see below), whose sum is σ = 1222300926. Its totient is φ = 198720000.

The previous prime is 496819963. The next prime is 496820029. The reversal of 496820000 is 28694.

It can be written as a sum of positive squares in 5 ways, for example, as 11587216 + 485232784 = 3404^2 + 22028^2 .

It is a super-2 number, since 2×496820000² = 493660224800000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7580 + ... + 32420.

Almost surely, 2^496820000 is an apocalyptic number.

496820000 is a gapful number since it is divisible by the number (40) 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 496820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611150463).

496820000 is an abundant number, since it is smaller than the sum of its proper divisors (725480926).

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

496820000 is an equidigital number, since it uses as much as digits as its factorization.

496820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24871 (or 24848 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 496820000 is about 22289.4593922778. The cubic root of 496820000 is about 792.0143010035.

Adding to 496820000 its reverse (28694), we get a palindrome (496848694).

The spelling of 496820000 in words is "four hundred ninety-six million, eight hundred twenty thousand".