496342000 has 240 divisors, whose sum is σ = 1512778176. Its totient is φ = 154176000.

The previous prime is 496341973. The next prime is 496342031. The reversal of 496342000 is 243694.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 496342000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693854 + ... + 1694146.

Almost surely, 2^496342000 is an apocalyptic number.

496342000 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 496342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756389088).

496342000 is an abundant number, since it is smaller than the sum of its proper divisors (1016436176).

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

496342000 is a wasteful number, since it uses less digits than its factorization.

496342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 496342000 is about 22278.7342548898. The cubic root of 496342000 is about 791.7602154764.

Adding to 496342000 its reverse (243694), we get a palindrome (496585694).

The spelling of 496342000 in words is "four hundred ninety-six million, three hundred forty-two thousand".