496434000 has 320 divisors, whose sum is σ = 1760458752. Its totient is φ = 119808000.

The previous prime is 496433999. The next prime is 496434007. The reversal of 496434000 is 434694.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496434007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3161922 + ... + 3162078.

Almost surely, 2^496434000 is an apocalyptic number.

496434000 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 496434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880229376).

496434000 is an abundant number, since it is smaller than the sum of its proper divisors (1264024752).

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

496434000 is a wasteful number, since it uses less digits than its factorization.

496434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 496434000 is about 22280.7989084772. The cubic root of 496434000 is about 791.8091316402.

Adding to 496434000 its reverse (434694), we get a palindrome (496868694).

The spelling of 496434000 in words is "four hundred ninety-six million, four hundred thirty-four thousand".