496783600 has 90 divisors (see below), whose sum is σ = 1214896200. Its totient is φ = 195212160.

The previous prime is 496783597. The next prime is 496783603. The reversal of 496783600 is 6387694.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (496783597) and next prime (496783603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496783603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2496301 + ... + 2496499.

Almost surely, 2^496783600 is an apocalyptic number.

496783600 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 496783600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607448100).

496783600 is an abundant number, since it is smaller than the sum of its proper divisors (718112600).

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

496783600 is a wasteful number, since it uses less digits than its factorization.

496783600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 496783600 is about 22288.6428478721. The cubic root of 496783600 is about 791.9949579654.

The spelling of 496783600 in words is "four hundred ninety-six million, seven hundred eighty-three thousand, six hundred".