496349952 has 144 divisors (see below), whose sum is σ = 1598833152. Its totient is φ = 133447680.

The previous prime is 496349951. The next prime is 496350031. The reversal of 496349952 is 259943694.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 496349895 and 496349904.

It is not an unprimeable number, because it can be changed into a prime (496349951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88677 + ... + 94107.

It is an arithmetic number, because the mean of its divisors is an integer number (11103008).

Almost surely, 2^496349952 is an apocalyptic number.

496349952 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 496349952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799416576).

496349952 is an abundant number, since it is smaller than the sum of its proper divisors (1102483200).

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

496349952 is a wasteful number, since it uses less digits than its factorization.

496349952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474 (or 5460 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 51.

The square root of 496349952 is about 22278.9127203282. The cubic root of 496349952 is about 791.7644437731.

The spelling of 496349952 in words is "four hundred ninety-six million, three hundred forty-nine thousand, nine hundred fifty-two".