496965600 has 216 divisors, whose sum is σ = 1829226672. Its totient is φ = 126720000.

The previous prime is 496965559. The next prime is 496965643. The reversal of 496965600 is 6569694.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164100 + ... + 167100.

It is an arithmetic number, because the mean of its divisors is an integer number (8468642).

Almost surely, 2^496965600 is an apocalyptic number.

496965600 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 496965600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914613336).

496965600 is an abundant number, since it is smaller than the sum of its proper divisors (1332261072).

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

496965600 is a wasteful number, since it uses less digits than its factorization.

496965600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 496965600 is about 22292.7252708142. The cubic root of 496965600 is about 792.0916637097.

The spelling of 496965600 in words is "four hundred ninety-six million, nine hundred sixty-five thousand, six hundred".