496131200 has 96 divisors (see below), whose sum is σ = 1232800560. Its totient is φ = 197288960.

The previous prime is 496131169. The next prime is 496131221. The reversal of 496131200 is 2131694.

It is a super-2 number, since 2×496131200² = 492292335226880000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 496131200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 726059 + ... + 726741.

Almost surely, 2^496131200 is an apocalyptic number.

496131200 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 496131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616400280).

496131200 is an abundant number, since it is smaller than the sum of its proper divisors (736669360).

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

496131200 is a wasteful number, since it uses less digits than its factorization.

496131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 496131200 is about 22274.0027835142. The cubic root of 496131200 is about 791.6481108609.

Adding to 496131200 its reverse (2131694), we get a palindrome (498262894).

The spelling of 496131200 in words is "four hundred ninety-six million, one hundred thirty-one thousand, two hundred".